A concise introduction to quantum mechanics:
Assuming a background in basic classical physics, multivariable calculus, and differential equations, A Concise Introduction to Quantum Mechanics provides a self-contained presentation of the mathematics and physics of quantum mechanics. The relevant aspects of classical mechanics and electrodynamic...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Rafael, CA
Morgan & Claypool Publishers
[2018]
Bristol IOP Publishing |
| Ausgabe: | Version: |
| Schriftenreihe: | IOP concise physics
|
| Schlagworte: | |
| Online-Zugang: | UBT01 UBW01 Volltext |
| Zusammenfassung: | Assuming a background in basic classical physics, multivariable calculus, and differential equations, A Concise Introduction to Quantum Mechanics provides a self-contained presentation of the mathematics and physics of quantum mechanics. The relevant aspects of classical mechanics and electrodynamics are reviewed, and the basic concepts of wave-particle duality are developed as a logical outgrowth of experiments involving blackbody radiation, the photoelectric effect, and electron diffraction. The Copenhagen interpretation of the wave function and its relation to the particle probability density is presented in conjunction with Fourier analysis and its generalization to function spaces. These concepts are combined to analyze the system consisting of a particle confined to a box, developing the probabilistic interpretation of observations and their associated expectation values. The Schr odinger equation is then derived by using these results and demanding both Galilean invariance of the probability density and Newtonian energy-momentum relations. The general properties of the Schr odinger equation and its solutions are analyzed, and the theory of observables is developed along with the associated Heisenberg uncertainty principle. Basic applications of wave mechanics are made to free wave packet spreading, barrier penetration, the simple harmonic oscillator, the Hydrogen atom, and an electric charge in a uniform magnetic field. In addition, Dirac notation, elements of Hilbert space theory, operator techniques, and matrix algebra are presented and used to analyze coherent states, the linear potential, two state oscillations, and electron diffraction. Applications are made to photon and electron spin and the addition of angular momentum, and direct product multiparticle states are used to formulate both the Pauli exclusion principle and quantum decoherence. The book concludes with an introduction to the rotation group and the general properties of angular m |
| Beschreibung: | 1 Online-Ressource (getrennte Zählung) Illustrationen |
| ISBN: | 9781681747163 9781681747187 |
| DOI: | 10.1088/978-1-6817-4716-3 |
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| 520 | |a Assuming a background in basic classical physics, multivariable calculus, and differential equations, A Concise Introduction to Quantum Mechanics provides a self-contained presentation of the mathematics and physics of quantum mechanics. The relevant aspects of classical mechanics and electrodynamics are reviewed, and the basic concepts of wave-particle duality are developed as a logical outgrowth of experiments involving blackbody radiation, the photoelectric effect, and electron diffraction. The Copenhagen interpretation of the wave function and its relation to the particle probability density is presented in conjunction with Fourier analysis and its generalization to function spaces. These concepts are combined to analyze the system consisting of a particle confined to a box, developing the probabilistic interpretation of observations and their associated expectation values. The Schr odinger equation is then derived by using these results and demanding both Galilean invariance of the probability density and Newtonian energy-momentum relations. The general properties of the Schr odinger equation and its solutions are analyzed, and the theory of observables is developed along with the associated Heisenberg uncertainty principle. Basic applications of wave mechanics are made to free wave packet spreading, barrier penetration, the simple harmonic oscillator, the Hydrogen atom, and an electric charge in a uniform magnetic field. In addition, Dirac notation, elements of Hilbert space theory, operator techniques, and matrix algebra are presented and used to analyze coherent states, the linear potential, two state oscillations, and electron diffraction. Applications are made to photon and electron spin and the addition of angular momentum, and direct product multiparticle states are used to formulate both the Pauli exclusion principle and quantum decoherence. The book concludes with an introduction to the rotation group and the general properties of angular m | ||
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| discipline | Physik |
| doi_str_mv | 10.1088/978-1-6817-4716-3 |
| edition | Version: |
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| id | DE-604.BV045134432 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:09:40Z |
| institution | BVB |
| isbn | 9781681747163 9781681747187 |
| language | English |
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| spelling | Swanson, Mark S. 1947- Verfasser (DE-588)17239189X aut A concise introduction to quantum mechanics Mark S. Swanson Version: San Rafael, CA Morgan & Claypool Publishers [2018] Bristol IOP Publishing 1 Online-Ressource (getrennte Zählung) Illustrationen txt rdacontent c rdamedia cr rdacarrier IOP concise physics Assuming a background in basic classical physics, multivariable calculus, and differential equations, A Concise Introduction to Quantum Mechanics provides a self-contained presentation of the mathematics and physics of quantum mechanics. The relevant aspects of classical mechanics and electrodynamics are reviewed, and the basic concepts of wave-particle duality are developed as a logical outgrowth of experiments involving blackbody radiation, the photoelectric effect, and electron diffraction. The Copenhagen interpretation of the wave function and its relation to the particle probability density is presented in conjunction with Fourier analysis and its generalization to function spaces. These concepts are combined to analyze the system consisting of a particle confined to a box, developing the probabilistic interpretation of observations and their associated expectation values. The Schr odinger equation is then derived by using these results and demanding both Galilean invariance of the probability density and Newtonian energy-momentum relations. The general properties of the Schr odinger equation and its solutions are analyzed, and the theory of observables is developed along with the associated Heisenberg uncertainty principle. Basic applications of wave mechanics are made to free wave packet spreading, barrier penetration, the simple harmonic oscillator, the Hydrogen atom, and an electric charge in a uniform magnetic field. In addition, Dirac notation, elements of Hilbert space theory, operator techniques, and matrix algebra are presented and used to analyze coherent states, the linear potential, two state oscillations, and electron diffraction. Applications are made to photon and electron spin and the addition of angular momentum, and direct product multiparticle states are used to formulate both the Pauli exclusion principle and quantum decoherence. The book concludes with an introduction to the rotation group and the general properties of angular m Quantum physics (quantum mechanics & quantum field theory) / bicssc SCIENCE / Physics / Quantum Theory / bisacsh Quantum theory Erscheint auch als Druck-Ausgabe 978-1-68174-717-0 https://doi.org/10.1088/978-1-6817-4716-3 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Swanson, Mark S. 1947- A concise introduction to quantum mechanics Quantum physics (quantum mechanics & quantum field theory) / bicssc SCIENCE / Physics / Quantum Theory / bisacsh Quantum theory |
| title | A concise introduction to quantum mechanics |
| title_auth | A concise introduction to quantum mechanics |
| title_exact_search | A concise introduction to quantum mechanics |
| title_full | A concise introduction to quantum mechanics Mark S. Swanson |
| title_fullStr | A concise introduction to quantum mechanics Mark S. Swanson |
| title_full_unstemmed | A concise introduction to quantum mechanics Mark S. Swanson |
| title_short | A concise introduction to quantum mechanics |
| title_sort | a concise introduction to quantum mechanics |
| topic | Quantum physics (quantum mechanics & quantum field theory) / bicssc SCIENCE / Physics / Quantum Theory / bisacsh Quantum theory |
| topic_facet | Quantum physics (quantum mechanics & quantum field theory) / bicssc SCIENCE / Physics / Quantum Theory / bisacsh Quantum theory |
| url | https://doi.org/10.1088/978-1-6817-4716-3 |
| work_keys_str_mv | AT swansonmarks aconciseintroductiontoquantummechanics |