Waves and optics:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
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Abingdon ; Boca Raton
CRC Press
2021
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| Online Access: | Inhaltsverzeichnis |
| Item Description: | Auf der Titelseite: Manakin Press |
| Physical Description: | XIII, 509 Seiten 24 cm |
| ISBN: | 9780367754990 |
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Table of Contents Chapter 1 : The wave equation with examples from mechanics, optics, electromagnetism and quantum mechanics 1.1 The Definition of a propagating wave in one, two and three dimensions 1.2 Standing waves in one, two and three dimensions 1.3 The polarization of a wave 1.4 The wave equation in one, two and three dimensions 1.5 The polarization of a wave revisited 1.6 Basics of fluid dynamics 1.7 Waves in a fluid-derivation from first principles 1.8 Longitudinal sound/pressure waves in a tube 1.9 The difference between transverse and longitudinal waves in terms of wave polarization 1.10 Maxwell’s equations and the wave equation for the electric and magnetic fields in free space 1.11 Solution to Maxwell’s equations in terms of retarded potentials satisfying the wave equation with source 1.12 The principle of superposition 1.13 Diffraction and interference of waves 1.14 Green’s function for wave equation with sources-Fraunhoffer and Fresnel’s diffraction 1.15 The basic Eikonal equation of geometric optics 1.16 Describing the trajectory of fight in a medium having spatially varying refractive index 1.17 Propagation of fight in anisotropic, inhomogeneous and time varying medium 1.18 The Schrodinger wave equation in quantum mechanics 1.19 The effect of noise on the Schrodinger wave equation-Open systems, ie, coupling of the system to the bath environment 1.20 Wave equation with random non-uniform refractive index 1.21 The relationship between the wave equation and the Helmholtz equation for waves of given frequency 1.22 Waves in a confined region 1.23 Schrodinger’s
wave equation for mixed states in the position kernel domain v 1 -64 1 7 11 14 17 19 22 27 28 30 32 34 37 39 42 46 47 48 52 53 56 57 62
Chapter 2: Waves in general relativity, quantum gravity, plasma physics and quantum stochastics 65-130 2.1 Gravitational waves 65 2.2 Quantum gravity, the canonical ADM formalism-Schrodinger’s equation for the wave function of the space-time metric. 75 2.3 Plasma waves 86 2.4 Evans-Hudson diffusion as a quantum mechanical generalization of the wave equation with noise 93 2.5 Waves in an expanding universe-Newtonian theory of small fluctuations and general relativistic theory of small fluctuations 95 2.6 EMwaves in a curved space-time geometry with inhomogeneous permittivitypermeability tensor 101 2.7 Quantum Optics. Here, the photon field is a quantum electromagnetic field expressible as a superposition of annihilation and creation operators of the photon field with the coefficients of the linear combination being positions of time and space 103 2.8 Quantum optics, notion of a generalized measurement, state collapse after quantum measurement, recovery of states passed through a noisy quantum system, the KnillLaflamme theorem Stinspring’s representation of noisy quantum systems, Information, relative entropy, mutual information and Renyi entropy of quantum systems. Transmission of information over quantum system. The relevance of all this to the wave mechanics of Schrodinger 112 2.9 Controlling the quantum em field produced by electrons and positrons by using a classical em field-An application of Dirac’s relativistic wave equation 116 2.10 Calculating the path of a light ray in a static gravitational field 118 2.11 A study of thermal emission by blackholes via Hawking
radiation, quantum mechanics of fields in the vicinity of a blackhole and the interactio of electrons,positrons, photons and gravitons with an external noisy bath with application to the design of very large size quantum gates 120 VI
Chapter 3: Analysis of waves in engineering and optical systems, in biological systems, classical and in quantum blackhole physics 131-260 3.1 Wave digital filter design 131 3.2 Large deviation principle in wave-motion 134 3.3 Some more problems in Schrodinger-wave mechanics and Heisenbergmatrix mechanics with relevance to quantum information theory 137 3.4 Questions in optimization techniques 145 3.5 Quantum antennas via the Schrodinger wave equation 148 3.6 Linear algebra for quantum information theory 151 3.7 Transmission lines and waveguides-Questions 153 3.8 Some more matrix inequalities related to quantum information theory 157 3.9 Fresnel and Fraunhoffer diffraction 159 3.10 Surface tension and wave propagation 161 3.11 Klein-Gordon equation in the Schwarzchild space-time with a radialtime independent electromagnetic field and its application to computing the Hawking temperature at which massless/massive particles are emitted from a blackhole 162 3.12 Quantum Belavkin filtering versus classical Kushner-Kallianpur filtering-A comparison 165 3.13 Remark on quantum Belavkin filtering for estimating the state of a quantum vibrating string 179 3.14 Elementary problems in robotics based on damped simple harmoniemotion 182 3.15 Approximate solution to the Dirac equation in curved space-time 194 3.16 Some applications of quantum gate design using physical systems 197 3.17 Convergence of perturbation series for nonlinear differential equations 200 3.18 Poiseulle’s law and generalized Poiseulle’s law for flow through a pipe 204 3.19 Measurement of refractive index 206 3.20
Modes of a vibrating string with applications to particle physics 209 VII
3.21 3.22 3.23 3.24 3.25 3.26 3.27 3.28 3.29 3.30 3.31 Hidden Markov Models for estimating the amplitude, frequency and phase of a sinusoidal signal making transitions The energy-momentum tensor of the Dirac field in a background curved space-time metric Remark on Noether’s theorem on conserved currents Energy-momentum tensor using the tetrad formalism Analysis of gravitational waves produced by a finite system of point particles-A perturbation theoretic approach Heat equation and its solution in Rn, relationship between heat andwave equations, nonlinear heat equations arising as the scaling limit of the simple exclusion process Study of wave motion of the boundary of single cellular micro-organsims by giving them external stimulus and observing the wave like motion of their boundary walls as well as wave-like fluctuations of the velocity field of the cytoplasmic fluid within them Snell’s laws of reflection and refraction on surfaces separating two uniform media Spinor form of some equations of mathematical physics: Roger Penrose’s theory Prisms, mirrors and lenses, the general theory A brief summary of the book Chapter 4: Probability Theory and Statistics required for random wave motion analysis 4.1 Summary of contents 4.2 Probability spaces and measure theoretic theorems on probability spaces 4.3 Basic facts about quantum probability 4.4 Some basic classical and quantum stochastic processes 4.5 Some applications of classical probability to engineering systems 4.6 Quantum stochastic differential equations 4.7 Some practical applications of quantum probability 4.8 Casting
the HP equation in functional derivative form VIII 212 217 220 222 226 228 233 239 244 253 259 261-272 261 262 263 264 265 267 268 271
Chapter 5: An introduction to probability and random processes in circuit and field theory from a pedagogical viewpoint 273-356 5.1 Circuit theory concepts from field theory concepts 273 5.2 Graph theoretic analysis of large linear circuits based on KCL and KVL 276 5.3 Two port network theory 276 5.4 Diode and capacitance circuit models 277 5.5 Classical device physics 277 5.6 Device physics using quantum mechanics and quantum electrodynamics 278 5.7 Band theory of a semiconductor by solving Schrödingers equation 279 5.8 Quantum electrodynamics and quantum field theory 279 5.9 Analyzing random Gaussian and non-Gaussian noise in circuits using higher order correlations and spectra 280 5.10 Noise in nonlinear transistor circuits 282 5.11 Digital electronics 282 5.12 Techniques for analyzing transmission lines 283 5.13 Brownian motion, Poisson processes and stochastic differential equations in circuit theory 284 5.14 Classical and quantum random processes in circuit theory 285 5.15 Simulation of nonlinear ode’s and pde’s in circuit theory and electromagnetics 285 5.16 Derivation of medium properties from basic physical principles involving motion of individual electrons and magnetic moments in external fields 286 5.17 Partial differential equation methods for analyzing waveguides 287 5.18 Curvilinear coordinate systems and variational methods in engineering electromagnetics 288 5.19 Perturbation theoretic methods in solving electromagnetics problems 290 5.20 Numerical methods in antenna, waveguide and cavity resonator theory 293 5.21 Large deviation theory applied to
engineering systems 294 5.22 Robotics based on nonlinear differential equations 295 5.23 Quantization of robot motion 296 IX
5.24 5.25 5.26 5.27 5.28 5.29 5.30 5.31 5.32 5.33 5.34 5.35 5.36 5.37 5.38 5.39 5.40 5.41 5.42 5.43 Filtering and control of engineering systems Quantum many body systems applied to Fermi operator fields and superconductivity Lie group theory in image processing Lie group based robotics Levy process models for jerk noise in robotic systems Digital systems, classical and quantum gates, design of counters using shift registers and flip-flops HMM and some of its applications Quantum Image Processing Introduce the design aspects of some gadgets through mini-projects some examples A simple way to introduce quantum electrodynamics How to teach the theory of non-Abelian gauge theories as non-commutative generalizations of electromagnetism How to introduce astronomy and cosmology to undergraduates Quantum image processing revisited The EKF for arbitrary Markov processes with Gaussian measurementnoise Quantum scattering theory applied to quantum gate design Superconductivity for two species and interpretation of the gap function Introductory quantum information theory Quantum image processing Lie group-Lie algebra approach to robot dynamics with two 3-D links, each described by three Euler angles and an overall translational vector a(t) e R? Linear algebra and operator theory 298 302 307 308 310 312 314 314 317 318 323 323 326 331 333 335 337 340 347 350 Chapter 6: Applications of Lie groups and Lie algebras, filtering, field quantization, Numerical methods for quantum mechanical problems 357-509 6.1 Quantum random walk 357 6.2 Lie group-Lie algebra theoretic coordinate free
formulation of the equations of motion of a robot with N 3-D links with the orientation of each link described by an arbitrary element of SO(3) and taking in addition into account a translation of the base pivot of the first link 359 x
6.3 Numerical methods for computing transition probabilities for photons, gravitons, Klein-Gordon Bosons, Dirac Fermions and non-Abelian matter and gauge particles from inside the critical radius to outside of a Schwarzchild blackhole with quantum gate design applications 6.4 Numerical methods for designing quantum gates based on quantum scattering theory for a Schrodinger projectile interacting with a potential 6.5 Quantization of a robot in the Lie-group domain when the robot has N 3-D links 6.6 Lie group formulation of the single 3-D robot link in the presence ofgravitation and external torque 6.7 Quantum antennas based on non-Abelian matter and gauge fields 6.8 The electroweak theory 6.9 Wavelet based system parameter estimation 6.10 Applying the EKF to nonlinear circuits involving diodes and transistors 6.11 An introduction to classical and quantum error detecting and correcting codes 6.12 Orthogonal Latin squares and coding theory 6.13 Cyclic codes 6.14 Yang-MiUs field quantization methods 6.15 The Ginzburg-Landau model for superconductivity 6.16 Teaching the basics of classical mechanics to school students and first year undergraduates 6.17 Teaching Linear algebra and functional analysis to post-graduate students of signal processing 6.18 Variants of the Kalman filter 6.19 The Cq-coding theorem: Proof based on Quantum Renyi entropy and Shannon’s random coding argument 6.20 Manual for the Digital Signal Processing and Statistical Signal Processing Laboratory 6.21 MATLAB problems on root space decomposition of a Lie algebra 6.22 Cartan’s criterion for semisimplicity of
a Lie algebra 6.23 Problems in linear algebra 6.24 Problems in non-linear filtering theory XI 360 361 362 364 367 371 373 374 376 377 378 379 383 386 396 398 401 402 420 426 427 429
6.25 6.26 6.27 6.28 6.29 6.30 6.31 6.32 6.33 6.34 6.35 6.36 6.37 6.38 6.39 6.40 6.41 6.42 6.43 6.44 6.45 6.46 6.47 6.48 6.49 6.50 6.51 6.52 6.53 Spectral theorem for bounded self-adjoint operators in a Hilbert space-basic steps Motion of rigid bodies in electromagnetic fields Large deviation theory with engineering applications Lectures in linear algebra for signal processing applications On the improvement of the signal quality in telephone lines Quantum Coulomb scattering Tutorial problems in electromagnetic field theory Lecture plan for electromagnetic field theory EC-C09 A digression into infinite dimensional vector spaces Continuation of finite dimensional vector spaces The general relativistic Maxwell equations in a resonator Mackey’s theory on the construction of the basic observables in the quantum theory from projective unitary representations of the Galilean group Hamiltonian density of the electromagnetic field in curved space-time in terms of position and momentum fields Coulomb scattering Electromagnetic waves in the Schwarzchild metric Tutorial problems in electromagnetic field theory The gravitational ո-body problem in general relativity: an approximate treatment Lecture plan for ”Linear Algebra in Signal Processing” -SP-C01 Continuation of finite dimensional vector spaces Cartan’s equations of structure Proof of the Riesz representation theorem Quantum image processing Inclusion of the Goldstone boson field in the gauge field after symmetry breaking Some problems in linear algebra Gravitational N-body problem in general relativity Multipole radiation fields
in the Maxwell theory How Dirac brackets are used to take care of constraints in Lagrangian and Hamiltonian mechanics Deep learning of speech models Some problems on linearization (for the course Linear algebra in signal processing) XII 435 439 442 442 443 445 450 455 457 458 459 463 464 467 469 470 472 475 476 477 479 480 481 482 484 488 490 490 491
6.54 Research project proposal for simulating quantum gates of large sizes using quantized ridge waveguide electromagnetic field interacting with quantum dots and also for estimating medium properties on the Angstrom scale 6.55 Design of a differentiator using series connection of short circuitedtransmission line elements 6.56 Design of quantum gates by interaction of a quantum em field with gravity 6.57 Scattering theory in the interaction picture for time dependent interations 6.58 Chapterwise report on Jaspal Khinda’s Ph.D thesis 6.59 Training a DNN with stochastic inputs with analysis of the robustness against input process and weight matrix fluctuations 6.60 Quantum Boltzmann equation 6.61 List of Ph.D scholars supervised by Harish Parthasarathy with a brief summary of their theses 6.62 The problem of determining the surface current density induced on an antenna surface placed in a nonlinear inhomogeneous and anisotropic medium taking gravitational effects into account xm 493 497 499 500 501 504 505 506 508 |
| adam_txt |
Table of Contents Chapter 1 : The wave equation with examples from mechanics, optics, electromagnetism and quantum mechanics 1.1 The Definition of a propagating wave in one, two and three dimensions 1.2 Standing waves in one, two and three dimensions 1.3 The polarization of a wave 1.4 The wave equation in one, two and three dimensions 1.5 The polarization of a wave revisited 1.6 Basics of fluid dynamics 1.7 Waves in a fluid-derivation from first principles 1.8 Longitudinal sound/pressure waves in a tube 1.9 The difference between transverse and longitudinal waves in terms of wave polarization 1.10 Maxwell’s equations and the wave equation for the electric and magnetic fields in free space 1.11 Solution to Maxwell’s equations in terms of retarded potentials satisfying the wave equation with source 1.12 The principle of superposition 1.13 Diffraction and interference of waves 1.14 Green’s function for wave equation with sources-Fraunhoffer and Fresnel’s diffraction 1.15 The basic Eikonal equation of geometric optics 1.16 Describing the trajectory of fight in a medium having spatially varying refractive index 1.17 Propagation of fight in anisotropic, inhomogeneous and time varying medium 1.18 The Schrodinger wave equation in quantum mechanics 1.19 The effect of noise on the Schrodinger wave equation-Open systems, ie, coupling of the system to the bath environment 1.20 Wave equation with random non-uniform refractive index 1.21 The relationship between the wave equation and the Helmholtz equation for waves of given frequency 1.22 Waves in a confined region 1.23 Schrodinger’s
wave equation for mixed states in the position kernel domain v 1 -64 1 7 11 14 17 19 22 27 28 30 32 34 37 39 42 46 47 48 52 53 56 57 62
Chapter 2: Waves in general relativity, quantum gravity, plasma physics and quantum stochastics 65-130 2.1 Gravitational waves 65 2.2 Quantum gravity, the canonical ADM formalism-Schrodinger’s equation for the wave function of the space-time metric. 75 2.3 Plasma waves 86 2.4 Evans-Hudson diffusion as a quantum mechanical generalization of the wave equation with noise 93 2.5 Waves in an expanding universe-Newtonian theory of small fluctuations and general relativistic theory of small fluctuations 95 2.6 EMwaves in a curved space-time geometry with inhomogeneous permittivitypermeability tensor 101 2.7 Quantum Optics. Here, the photon field is a quantum electromagnetic field expressible as a superposition of annihilation and creation operators of the photon field with the coefficients of the linear combination being positions of time and space 103 2.8 Quantum optics, notion of a generalized measurement, state collapse after quantum measurement, recovery of states passed through a noisy quantum system, the KnillLaflamme theorem Stinspring’s representation of noisy quantum systems, Information, relative entropy, mutual information and Renyi entropy of quantum systems. Transmission of information over quantum system. The relevance of all this to the wave mechanics of Schrodinger 112 2.9 Controlling the quantum em field produced by electrons and positrons by using a classical em field-An application of Dirac’s relativistic wave equation 116 2.10 Calculating the path of a light ray in a static gravitational field 118 2.11 A study of thermal emission by blackholes via Hawking
radiation, quantum mechanics of fields in the vicinity of a blackhole and the interactio of electrons,positrons, photons and gravitons with an external noisy bath with application to the design of very large size quantum gates 120 VI
Chapter 3: Analysis of waves in engineering and optical systems, in biological systems, classical and in quantum blackhole physics 131-260 3.1 Wave digital filter design 131 3.2 Large deviation principle in wave-motion 134 3.3 Some more problems in Schrodinger-wave mechanics and Heisenbergmatrix mechanics with relevance to quantum information theory 137 3.4 Questions in optimization techniques 145 3.5 Quantum antennas via the Schrodinger wave equation 148 3.6 Linear algebra for quantum information theory 151 3.7 Transmission lines and waveguides-Questions 153 3.8 Some more matrix inequalities related to quantum information theory 157 3.9 Fresnel and Fraunhoffer diffraction 159 3.10 Surface tension and wave propagation 161 3.11 Klein-Gordon equation in the Schwarzchild space-time with a radialtime independent electromagnetic field and its application to computing the Hawking temperature at which massless/massive particles are emitted from a blackhole 162 3.12 Quantum Belavkin filtering versus classical Kushner-Kallianpur filtering-A comparison 165 3.13 Remark on quantum Belavkin filtering for estimating the state of a quantum vibrating string 179 3.14 Elementary problems in robotics based on damped simple harmoniemotion 182 3.15 Approximate solution to the Dirac equation in curved space-time 194 3.16 Some applications of quantum gate design using physical systems 197 3.17 Convergence of perturbation series for nonlinear differential equations 200 3.18 Poiseulle’s law and generalized Poiseulle’s law for flow through a pipe 204 3.19 Measurement of refractive index 206 3.20
Modes of a vibrating string with applications to particle physics 209 VII
3.21 3.22 3.23 3.24 3.25 3.26 3.27 3.28 3.29 3.30 3.31 Hidden Markov Models for estimating the amplitude, frequency and phase of a sinusoidal signal making transitions The energy-momentum tensor of the Dirac field in a background curved space-time metric Remark on Noether’s theorem on conserved currents Energy-momentum tensor using the tetrad formalism Analysis of gravitational waves produced by a finite system of point particles-A perturbation theoretic approach Heat equation and its solution in Rn, relationship between heat andwave equations, nonlinear heat equations arising as the scaling limit of the simple exclusion process Study of wave motion of the boundary of single cellular micro-organsims by giving them external stimulus and observing the wave like motion of their boundary walls as well as wave-like fluctuations of the velocity field of the cytoplasmic fluid within them Snell’s laws of reflection and refraction on surfaces separating two uniform media Spinor form of some equations of mathematical physics: Roger Penrose’s theory Prisms, mirrors and lenses, the general theory A brief summary of the book Chapter 4: Probability Theory and Statistics required for random wave motion analysis 4.1 Summary of contents 4.2 Probability spaces and measure theoretic theorems on probability spaces 4.3 Basic facts about quantum probability 4.4 Some basic classical and quantum stochastic processes 4.5 Some applications of classical probability to engineering systems 4.6 Quantum stochastic differential equations 4.7 Some practical applications of quantum probability 4.8 Casting
the HP equation in functional derivative form VIII 212 217 220 222 226 228 233 239 244 253 259 261-272 261 262 263 264 265 267 268 271
Chapter 5: An introduction to probability and random processes in circuit and field theory from a pedagogical viewpoint 273-356 5.1 Circuit theory concepts from field theory concepts 273 5.2 Graph theoretic analysis of large linear circuits based on KCL and KVL 276 5.3 Two port network theory 276 5.4 Diode and capacitance circuit models 277 5.5 Classical device physics 277 5.6 Device physics using quantum mechanics and quantum electrodynamics 278 5.7 Band theory of a semiconductor by solving Schrödingers equation 279 5.8 Quantum electrodynamics and quantum field theory 279 5.9 Analyzing random Gaussian and non-Gaussian noise in circuits using higher order correlations and spectra 280 5.10 Noise in nonlinear transistor circuits 282 5.11 Digital electronics 282 5.12 Techniques for analyzing transmission lines 283 5.13 Brownian motion, Poisson processes and stochastic differential equations in circuit theory 284 5.14 Classical and quantum random processes in circuit theory 285 5.15 Simulation of nonlinear ode’s and pde’s in circuit theory and electromagnetics 285 5.16 Derivation of medium properties from basic physical principles involving motion of individual electrons and magnetic moments in external fields 286 5.17 Partial differential equation methods for analyzing waveguides 287 5.18 Curvilinear coordinate systems and variational methods in engineering electromagnetics 288 5.19 Perturbation theoretic methods in solving electromagnetics problems 290 5.20 Numerical methods in antenna, waveguide and cavity resonator theory 293 5.21 Large deviation theory applied to
engineering systems 294 5.22 Robotics based on nonlinear differential equations 295 5.23 Quantization of robot motion 296 IX
5.24 5.25 5.26 5.27 5.28 5.29 5.30 5.31 5.32 5.33 5.34 5.35 5.36 5.37 5.38 5.39 5.40 5.41 5.42 5.43 Filtering and control of engineering systems Quantum many body systems applied to Fermi operator fields and superconductivity Lie group theory in image processing Lie group based robotics Levy process models for jerk noise in robotic systems Digital systems, classical and quantum gates, design of counters using shift registers and flip-flops HMM and some of its applications Quantum Image Processing Introduce the design aspects of some gadgets through mini-projects some examples A simple way to introduce quantum electrodynamics How to teach the theory of non-Abelian gauge theories as non-commutative generalizations of electromagnetism How to introduce astronomy and cosmology to undergraduates Quantum image processing revisited The EKF for arbitrary Markov processes with Gaussian measurementnoise Quantum scattering theory applied to quantum gate design Superconductivity for two species and interpretation of the gap function Introductory quantum information theory Quantum image processing Lie group-Lie algebra approach to robot dynamics with two 3-D links, each described by three Euler angles and an overall translational vector a(t) e R? Linear algebra and operator theory 298 302 307 308 310 312 314 314 317 318 323 323 326 331 333 335 337 340 347 350 Chapter 6: Applications of Lie groups and Lie algebras, filtering, field quantization, Numerical methods for quantum mechanical problems 357-509 6.1 Quantum random walk 357 6.2 Lie group-Lie algebra theoretic coordinate free
formulation of the equations of motion of a robot with N 3-D links with the orientation of each link described by an arbitrary element of SO(3) and taking in addition into account a translation of the base pivot of the first link 359 x
6.3 Numerical methods for computing transition probabilities for photons, gravitons, Klein-Gordon Bosons, Dirac Fermions and non-Abelian matter and gauge particles from inside the critical radius to outside of a Schwarzchild blackhole with quantum gate design applications 6.4 Numerical methods for designing quantum gates based on quantum scattering theory for a Schrodinger projectile interacting with a potential 6.5 Quantization of a robot in the Lie-group domain when the robot has N 3-D links 6.6 Lie group formulation of the single 3-D robot link in the presence ofgravitation and external torque 6.7 Quantum antennas based on non-Abelian matter and gauge fields 6.8 The electroweak theory 6.9 Wavelet based system parameter estimation 6.10 Applying the EKF to nonlinear circuits involving diodes and transistors 6.11 An introduction to classical and quantum error detecting and correcting codes 6.12 Orthogonal Latin squares and coding theory 6.13 Cyclic codes 6.14 Yang-MiUs field quantization methods 6.15 The Ginzburg-Landau model for superconductivity 6.16 Teaching the basics of classical mechanics to school students and first year undergraduates 6.17 Teaching Linear algebra and functional analysis to post-graduate students of signal processing 6.18 Variants of the Kalman filter 6.19 The Cq-coding theorem: Proof based on Quantum Renyi entropy and Shannon’s random coding argument 6.20 Manual for the Digital Signal Processing and Statistical Signal Processing Laboratory 6.21 MATLAB problems on root space decomposition of a Lie algebra 6.22 Cartan’s criterion for semisimplicity of
a Lie algebra 6.23 Problems in linear algebra 6.24 Problems in non-linear filtering theory XI 360 361 362 364 367 371 373 374 376 377 378 379 383 386 396 398 401 402 420 426 427 429
6.25 6.26 6.27 6.28 6.29 6.30 6.31 6.32 6.33 6.34 6.35 6.36 6.37 6.38 6.39 6.40 6.41 6.42 6.43 6.44 6.45 6.46 6.47 6.48 6.49 6.50 6.51 6.52 6.53 Spectral theorem for bounded self-adjoint operators in a Hilbert space-basic steps Motion of rigid bodies in electromagnetic fields Large deviation theory with engineering applications Lectures in linear algebra for signal processing applications On the improvement of the signal quality in telephone lines Quantum Coulomb scattering Tutorial problems in electromagnetic field theory Lecture plan for electromagnetic field theory EC-C09 A digression into infinite dimensional vector spaces Continuation of finite dimensional vector spaces The general relativistic Maxwell equations in a resonator Mackey’s theory on the construction of the basic observables in the quantum theory from projective unitary representations of the Galilean group Hamiltonian density of the electromagnetic field in curved space-time in terms of position and momentum fields Coulomb scattering Electromagnetic waves in the Schwarzchild metric Tutorial problems in electromagnetic field theory The gravitational ո-body problem in general relativity: an approximate treatment Lecture plan for ”Linear Algebra in Signal Processing” -SP-C01 Continuation of finite dimensional vector spaces Cartan’s equations of structure Proof of the Riesz representation theorem Quantum image processing Inclusion of the Goldstone boson field in the gauge field after symmetry breaking Some problems in linear algebra Gravitational N-body problem in general relativity Multipole radiation fields
in the Maxwell theory How Dirac brackets are used to take care of constraints in Lagrangian and Hamiltonian mechanics Deep learning of speech models Some problems on linearization (for the course Linear algebra in signal processing) XII 435 439 442 442 443 445 450 455 457 458 459 463 464 467 469 470 472 475 476 477 479 480 481 482 484 488 490 490 491
6.54 Research project proposal for simulating quantum gates of large sizes using quantized ridge waveguide electromagnetic field interacting with quantum dots and also for estimating medium properties on the Angstrom scale 6.55 Design of a differentiator using series connection of short circuitedtransmission line elements 6.56 Design of quantum gates by interaction of a quantum em field with gravity 6.57 Scattering theory in the interaction picture for time dependent interations 6.58 Chapterwise report on Jaspal Khinda’s Ph.D thesis 6.59 Training a DNN with stochastic inputs with analysis of the robustness against input process and weight matrix fluctuations 6.60 Quantum Boltzmann equation 6.61 List of Ph.D scholars supervised by Harish Parthasarathy with a brief summary of their theses 6.62 The problem of determining the surface current density induced on an antenna surface placed in a nonlinear inhomogeneous and anisotropic medium taking gravitational effects into account xm 493 497 499 500 501 504 505 506 508 |
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| author | Parthasarathy, Harish 1968- |
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| discipline_str_mv | Physik |
| format | Book |
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| id | DE-604.BV047227279 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:59:20Z |
| indexdate | 2024-07-20T05:52:10Z |
| institution | BVB |
| isbn | 9780367754990 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032631815 |
| oclc_num | 1256419963 |
| open_access_boolean | |
| owner | DE-703 DE-19 DE-BY-UBM |
| owner_facet | DE-703 DE-19 DE-BY-UBM |
| physical | XIII, 509 Seiten 24 cm |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Parthasarathy, Harish 1968- Verfasser (DE-588)1232007595 aut Waves and optics Harish Parthasarathy Abingdon ; Boca Raton CRC Press 2021 XIII, 509 Seiten 24 cm txt rdacontent n rdamedia nc rdacarrier Auf der Titelseite: Manakin Press Elektromagnetische Welle (DE-588)4014301-6 gnd rswk-swf Optik (DE-588)4043650-0 gnd rswk-swf Quantenoptik (DE-588)4047990-0 gnd rswk-swf Waves Optics Elektromagnetische Welle (DE-588)4014301-6 s Optik (DE-588)4043650-0 s Quantenoptik (DE-588)4047990-0 s DE-604 Erscheint auch als 978-1-003-16273-5 Online-Ausgabe Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032631815&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Parthasarathy, Harish 1968- Waves and optics Elektromagnetische Welle (DE-588)4014301-6 gnd Optik (DE-588)4043650-0 gnd Quantenoptik (DE-588)4047990-0 gnd |
| subject_GND | (DE-588)4014301-6 (DE-588)4043650-0 (DE-588)4047990-0 |
| title | Waves and optics |
| title_auth | Waves and optics |
| title_exact_search | Waves and optics |
| title_exact_search_txtP | Waves and optics |
| title_full | Waves and optics Harish Parthasarathy |
| title_fullStr | Waves and optics Harish Parthasarathy |
| title_full_unstemmed | Waves and optics Harish Parthasarathy |
| title_short | Waves and optics |
| title_sort | waves and optics |
| topic | Elektromagnetische Welle (DE-588)4014301-6 gnd Optik (DE-588)4043650-0 gnd Quantenoptik (DE-588)4047990-0 gnd |
| topic_facet | Elektromagnetische Welle Optik Quantenoptik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032631815&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT parthasarathyharish wavesandoptics |