Classical and quantum dynamics: from classical paths to path integrals
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2020]
|
| Ausgabe: | Sixth edition |
| Schlagworte: | |
| Beschreibung: | Introduction.- The Action Principles in Mechanics.- The Action Principle in Classical Electrodynamics.- Application of the Action Principles.- Jacobi Fields, Conjugate Points.-Canonical Transformations.- The Hamilton–Jacobi Equation.- Action-Angle Variables.- The Adiabatic Invariance of the Action Variables.- Time-Independent Canonical Perturbation Theory.- Canonical Perturbation Theory with Several Degrees of Freedom.- Canonical Adiabatic Theory.- Removal of Resonances.- Superconvergent Perturbation Theory, KAM Theorem.- Poincaré Surface of Sections, Mappings.- The KAM Theorem.- Fundamental Principles of Quantum Mechanics.- Functional Derivative Approach.- Examples for Calculating Path Integrals.- Direct Evaluation of Path Integrals.- Linear Oscillator with Time-Dependent Frequency.- Propagators for Particles in an External Magnetic Field.- Simple Applications of Propagator Functions.- The WKB Approximation.- Computing the trace.- Partition Function for the Harmonic Oscillator.- Introduction to Homotopy Theory.- Classical Chern–Simons Mechanics.- Semiclassical Quantization.- The "Maslov Anomaly" for the Harmonic Oscillator.-Maslov Anomaly and the Morse Index Theorem.- Berry’s Phase.- Classical Geometric Phases: Foucault and Euler.- Berry Phase and Parametric Harmonic Oscillator.- Topological Phases in Planar Electrodynamics.- Path Integral Formulation of Quantum Electrodynamics.- Particle in Harmonic E-Field E(t) = Esinw0t; Schwinger-Fock Proper-Time Method.- The Usefulness of Lie Brackets: From Classical and Quantum Mechanics to Quantum Electrodynamics.- Green’s Function of a Spin-1/2 Particle in a Constant External Magnetic Field.- One-Loop Effective Lagrangian in QED.- On Riemann’s Ideas on Space and Schwinger’s Treatment of Low-Energy Pion-Nucleon Physics.- The Non-Abelian Vector Gauge Particle p .- Riemann’s Result and Consequences for Physics and Philosophy |
| Beschreibung: | x, 563 Seiten 872 grams |
| ISBN: | 9783030367886 |
Internformat
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| 100 | 1 | |a Dittrich, Walter |d 1935- |e Verfasser |0 (DE-588)1027191053 |4 aut | |
| 245 | 1 | 0 | |a Classical and quantum dynamics |b from classical paths to path integrals |c Walter Dittrich, Martin Reuter |
| 250 | |a Sixth edition | ||
| 264 | 1 | |a Cham, Switzerland |b Springer |c [2020] | |
| 300 | |a x, 563 Seiten |c 872 grams | ||
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| 500 | |a Introduction.- The Action Principles in Mechanics.- The Action Principle in Classical Electrodynamics.- Application of the Action Principles.- Jacobi Fields, Conjugate Points.-Canonical Transformations.- The Hamilton–Jacobi Equation.- Action-Angle Variables.- The Adiabatic Invariance of the Action Variables.- Time-Independent Canonical Perturbation Theory.- Canonical Perturbation Theory with Several Degrees of Freedom.- Canonical Adiabatic Theory.- Removal of Resonances.- Superconvergent Perturbation Theory, KAM Theorem.- Poincaré Surface of Sections, Mappings.- The KAM Theorem.- Fundamental Principles of Quantum Mechanics.- Functional Derivative Approach.- Examples for Calculating Path Integrals.- Direct Evaluation of Path Integrals.- Linear Oscillator with Time-Dependent Frequency.- Propagators for Particles in an External Magnetic Field.- Simple Applications of Propagator Functions.- The WKB Approximation.- Computing the trace.- Partition Function for the Harmonic Oscillator.- Introduction to Homotopy Theory.- Classical Chern–Simons Mechanics.- Semiclassical Quantization.- The "Maslov Anomaly" for the Harmonic Oscillator.-Maslov Anomaly and the Morse Index Theorem.- Berry’s Phase.- Classical Geometric Phases: Foucault and Euler.- Berry Phase and Parametric Harmonic Oscillator.- Topological Phases in Planar Electrodynamics.- Path Integral Formulation of Quantum Electrodynamics.- Particle in Harmonic E-Field E(t) = Esinw0t; Schwinger-Fock Proper-Time Method.- The Usefulness of Lie Brackets: From Classical and Quantum Mechanics to Quantum Electrodynamics.- Green’s Function of a Spin-1/2 Particle in a Constant External Magnetic Field.- One-Loop Effective Lagrangian in QED.- On Riemann’s Ideas on Space and Schwinger’s Treatment of Low-Energy Pion-Nucleon Physics.- The Non-Abelian Vector Gauge Particle p .- Riemann’s Result and Consequences for Physics and Philosophy | ||
| 650 | 4 | |a Quantum physics | |
| 650 | 4 | |a Continuum physics | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Nuclear physics | |
| 650 | 4 | |a Statistical physics | |
| 650 | 4 | |a Physics | |
| 653 | |a Hardcover, Softcover / Physik, Astronomie/Theoretische Physik | ||
| 700 | 1 | |a Reuter, Martin |d 1958- |e Verfasser |0 (DE-588)134272102 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-030-36786-2 |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-032550147 | ||
Datensatz im Suchindex
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| author | Dittrich, Walter 1935- Reuter, Martin 1958- |
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| id | DE-604.BV047144291 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:36:26Z |
| indexdate | 2024-07-10T09:03:52Z |
| institution | BVB |
| isbn | 9783030367886 |
| language | English |
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| owner_facet | DE-29T |
| physical | x, 563 Seiten 872 grams |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Springer |
| record_format | marc |
| spelling | Dittrich, Walter 1935- Verfasser (DE-588)1027191053 aut Classical and quantum dynamics from classical paths to path integrals Walter Dittrich, Martin Reuter Sixth edition Cham, Switzerland Springer [2020] x, 563 Seiten 872 grams txt rdacontent n rdamedia nc rdacarrier Introduction.- The Action Principles in Mechanics.- The Action Principle in Classical Electrodynamics.- Application of the Action Principles.- Jacobi Fields, Conjugate Points.-Canonical Transformations.- The Hamilton–Jacobi Equation.- Action-Angle Variables.- The Adiabatic Invariance of the Action Variables.- Time-Independent Canonical Perturbation Theory.- Canonical Perturbation Theory with Several Degrees of Freedom.- Canonical Adiabatic Theory.- Removal of Resonances.- Superconvergent Perturbation Theory, KAM Theorem.- Poincaré Surface of Sections, Mappings.- The KAM Theorem.- Fundamental Principles of Quantum Mechanics.- Functional Derivative Approach.- Examples for Calculating Path Integrals.- Direct Evaluation of Path Integrals.- Linear Oscillator with Time-Dependent Frequency.- Propagators for Particles in an External Magnetic Field.- Simple Applications of Propagator Functions.- The WKB Approximation.- Computing the trace.- Partition Function for the Harmonic Oscillator.- Introduction to Homotopy Theory.- Classical Chern–Simons Mechanics.- Semiclassical Quantization.- The "Maslov Anomaly" for the Harmonic Oscillator.-Maslov Anomaly and the Morse Index Theorem.- Berry’s Phase.- Classical Geometric Phases: Foucault and Euler.- Berry Phase and Parametric Harmonic Oscillator.- Topological Phases in Planar Electrodynamics.- Path Integral Formulation of Quantum Electrodynamics.- Particle in Harmonic E-Field E(t) = Esinw0t; Schwinger-Fock Proper-Time Method.- The Usefulness of Lie Brackets: From Classical and Quantum Mechanics to Quantum Electrodynamics.- Green’s Function of a Spin-1/2 Particle in a Constant External Magnetic Field.- One-Loop Effective Lagrangian in QED.- On Riemann’s Ideas on Space and Schwinger’s Treatment of Low-Energy Pion-Nucleon Physics.- The Non-Abelian Vector Gauge Particle p .- Riemann’s Result and Consequences for Physics and Philosophy Quantum physics Continuum physics Mathematical physics Nuclear physics Statistical physics Physics Hardcover, Softcover / Physik, Astronomie/Theoretische Physik Reuter, Martin 1958- Verfasser (DE-588)134272102 aut Erscheint auch als Online-Ausgabe 978-3-030-36786-2 |
| spellingShingle | Dittrich, Walter 1935- Reuter, Martin 1958- Classical and quantum dynamics from classical paths to path integrals Quantum physics Continuum physics Mathematical physics Nuclear physics Statistical physics Physics |
| title | Classical and quantum dynamics from classical paths to path integrals |
| title_auth | Classical and quantum dynamics from classical paths to path integrals |
| title_exact_search | Classical and quantum dynamics from classical paths to path integrals |
| title_exact_search_txtP | Classical and quantum dynamics from classical paths to path integrals |
| title_full | Classical and quantum dynamics from classical paths to path integrals Walter Dittrich, Martin Reuter |
| title_fullStr | Classical and quantum dynamics from classical paths to path integrals Walter Dittrich, Martin Reuter |
| title_full_unstemmed | Classical and quantum dynamics from classical paths to path integrals Walter Dittrich, Martin Reuter |
| title_short | Classical and quantum dynamics |
| title_sort | classical and quantum dynamics from classical paths to path integrals |
| title_sub | from classical paths to path integrals |
| topic | Quantum physics Continuum physics Mathematical physics Nuclear physics Statistical physics Physics |
| topic_facet | Quantum physics Continuum physics Mathematical physics Nuclear physics Statistical physics Physics |
| work_keys_str_mv | AT dittrichwalter classicalandquantumdynamicsfromclassicalpathstopathintegrals AT reutermartin classicalandquantumdynamicsfromclassicalpathstopathintegrals |