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Titlebook: Classical and Quantum Dynamics; From Classical Paths Walter Dittrich,Martin Reuter Textbook 2020Latest edition The Editor(s) (if applicable

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发表于 2025-3-21 19:36:21 | 显示全部楼层 |阅读模式
书目名称Classical and Quantum Dynamics
副标题From Classical Paths
编辑Walter Dittrich,Martin Reuter
视频video
概述Perfect companion for courses on path integrals, advanced mechanics and quantum mechanics as well as semi-classical methods and non-linear dynamics.Highlights the principle of stationary action as com
图书封面Titlebook: Classical and Quantum Dynamics; From Classical Paths Walter Dittrich,Martin Reuter Textbook 2020Latest edition The Editor(s) (if applicable
描述.Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals... ..The sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed.  .
出版日期Textbook 2020Latest edition
关键词Action Angle Variable; Adiabatic Invariance Physics; Berry‘s Phase; Canonical Perturbation Theory; Hamil
版次6
doihttps://doi.org/10.1007/978-3-030-36786-2
isbn_softcover978-3-030-36788-6
isbn_ebook978-3-030-36786-2
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Action-Angle Variables,..) is the generator of a canonical transformation to new constant momenta .. (all .. are ignorable), and the new Hamiltonian depends only on the ..: . = . = .(..). Besides, the following canonical equations are valid
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Removal of Resonances,rs appear in the expression for the adiabatic invariants. We now wish to begin to locally remove such resonances by trying, with the help of a canonical transformation, to go to a coordinate system which rotates with the resonant frequency.
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Functional Derivative Approach,tablish the formal connection between operator and path integral formalism. Our objective is to introduce the generating functional into quantum mechanics. Naturally we want to generate transition amplitudes. The problem confronting us is how to transcribe operator quantum mechanics as expressed in
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https://doi.org/10.1007/978-3-030-36786-2Action Angle Variable; Adiabatic Invariance Physics; Berry‘s Phase; Canonical Perturbation Theory; Hamil
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