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Titlebook: Classical and Quantum Dynamics; From Classical Paths Walter Dittrich,Martin Reuter Textbook 20175th edition Springer International Publishi

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发表于 2025-3-21 19:45:06 | 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Highlights the principle of stationary action as common starting point of classical and quantum mechanics.Perfect companion for courses on path integrals, on advanced mechanics or quantum mechanics an
图书封面Titlebook: Classical and Quantum Dynamics; From Classical Paths Walter Dittrich,Martin Reuter Textbook 20175th edition Springer International Publishi
描述Graduate students who wish 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 fifth edition has been revised and enlarged to include chapters on quantum electrodynamics, in particular, Schwinger’s proper time method and the treatment of classical and quantum mechanics with Lie brackets and pseudocanonical transformations. It is shown that operator quantum electrodynamics can be equivalently described with c-numbers, as demonstrated by calculating the propagation function for an electron in a prescribed classical electromagnetic field..
出版日期Textbook 20175th edition
关键词Action Angle Variable; Adiabatic Invariance Physics; Berry‘s Phase; Canonical Perturbation Theory; Hamil
版次5
doihttps://doi.org/10.1007/978-3-319-58298-6
isbn_softcover978-3-319-86369-6
isbn_ebook978-3-319-58298-6
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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发表于 2025-3-21 21:33:21 | 显示全部楼层
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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Time-Independent Canonical Perturbation Theory, conservative, .∕. = 0, and periodic in both the unperturbed and perturbed case. In addition to periodicity, we shall require the Hamilton–Jacobi equation to be separable for the unperturbed situation. The unperturbed problem ..(..) which is described by the action-angle variables .. and .. will be
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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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,Poincaré Surface of Sections, Mappings,o-dimensional surface. If we then consider the trajectory in phase space, we are interested primarily in its piercing points through this surface. This piercing can occur repeatedly in the same direction. If the motion of the trajectory is determined by the Hamiltonian equations, then the . + 1-th p
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