Title Classical and Quantum Dynamics : From Classical Paths to Path Integrals / Walter Dittrich, Martin Reuter

Edition 6th ed Published Cham : Springer, 2020

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Description 1 online resource (551 pages) Contents Intro -- Preface to the Sixth Edition -- Preface to the First Edition -- Contents -- 1 Introduction -- 2 The Action Principles in Mechanics -- 3 The Action Principle in Classical Electrodynamics -- 4 Application of the Action Principles -- 5 Jacobi Fields, Conjugate Points -- 6 Canonical Transformations -- 7 The Hamilton-Jacobi Equation -- 8 Action-Angle Variables -- 9 The Adiabatic Invariance of the Action Variables -- 10 Time-Independent Canonical Perturbation Theory -- 11 Canonical Perturbation Theory with Several Degrees of Freedom -- 12 Canonical Adiabatic Theory 13 Removal of Resonances -- 14 Superconvergent Perturbation Theory, KAM Theorem (Introduction) -- 15 Poincaré Surface of Sections, Mappings -- 16 The KAM Theorem -- 17 Fundamental Principles of Quantum Mechanics -- 18 Functional Derivative Approach -- 19 Examples for Calculating Path Integrals -- 20 Direct Evaluation of Path Integrals -- 21 Linear Oscillator with Time-Dependent Frequency -- 22 Propagators for Particles in an External Magnetic Field -- 23 Simple Applications of Propagator Functions -- 24 The WKB Approximation -- 25 Computing the Trace 38 The Usefulness of Lie Brackets: From Classical and Quantum Mechanics to Quantum Electrodynamics -- 39 Green's Function of a Spin- eepic12 Particle in a Constant External Magnetic Field -- 40 One-Loop Effective Lagrangian in QED -- 41 On Riemann's Ideas on Space and Schwinger's Treatment of Low-Energy Pion-Nucleon Physics -- Riemann's Unit Sphere S2 -- Riemann's Unit Sphere Sn -- Derivation of Riemann's Main Formula for ds2 -- Calculation of Riemann's Curvature Tensor, Ricci Scalar, etc. -- Maximally Symmetric Metric -- Realization of Chiral Symmetry in a Curved Isospin Space Notes Print version record Subject Quantum theory. Physics. Mathematical physics. Field theory (Physics) Nuclear physics. Quantum Theory Physics Nuclear Physics physics. nuclear physics. Field theory (Physics) Mathematical physics Nuclear physics Physics Quantum theory Form Electronic book Author Reuter, Martin, 1958- ISBN 9783030367862 303036786X

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