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The semiclassical way to dynamics and spectroscopy /

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자료유형E-Book
개인저자Heller, Eric Johnson.
서명/저자사항The semiclassical way to dynamics and spectroscopy /Eric J. Heller.
발행사항Princeton : Princeton University Press, 2018.
형태사항1 online resource (473 p.)
소장본 주기Master record variable field(s) change: 050, 072, 082, 650
ISBN9781400890293
1400890292
내용주기Cover; Title; Copyright; Dedication; Contents; Preface; Acknowledgments; Introduction; PART I CLASSICAL MECHANICS WITH AN EYE TO QUANTUM MECHANICS; Chapter 1 The Lagrangian and the Action; 1.1 Extremal Action and Equations of Motion; 1.2 Form of the Lagrangian; 1.3 Noether's Theorem; 1.4 Hamiltonian Formulation; 1.5 Constrained Systems and Forces of Constraint; 1.6 Derivatives and Legendre Transformations of the Action; 1.7 Velocity-Dependent Potentials; Chapter 2 Canonical Transformations; 2.1 Hamilton-Jacobi Idea; 2.2 Action as the Generating Function for Dynamics
2.3 Phase Space and Canonical Transformations2.4 Transformation of Manifolds, Areas, and Densities; Chapter 3 Time Evolution in Phase Space; 3.1 Time Evolution of Point Trajectories; 3.2 Generating Functions and Joint Probabilities; 3.3 Poincare?-Cartan Invariants; 3.4 Poincare? Surface of Section; 3.5 Action-Angle Coordinates; 3.6 Area-Preserving Maps; 3.7 Poincare?-Birkhoff Fixed-Point Theorem; 3.8 Stability Analysis; 3.9 Motion near a Periodic Orbit; 3.10 Classical Baker's Map; 3.11 (Classical) Trace of a Periodic Orbit; 3.12 Survival of (Most of) the Tori under Weak Interactions
3.13 Structure of Phase SpaceChapter 4 Classical Resonance Theory; 4.1 Paradigm System: Linearly Forced, Damped Oscillator; 4.2 Slow External Time-Dependent Perturbations; 4.3 Fast External Time-Dependent Perturbations; 4.4 Averaging of Perturbations; 4.5 Resonance Characteristics and Removal; 4.6 Resonance and Classical Perturbation Theory; 4.7 Oscillator Connection; PART II QUANTUM AND SEMICLASSICAL MECHANICS; Chapter 5 Aspects of Time-Dependent Quantum Mechanics; 5.1 Time-Dependent Perturbation Theory; 5.2 Fermi Golden Rule for Decay and Beyond
5.3 System-Bath Interactions, Dephasing, and Depopulation5.4 Eigenstates as Fourier Transform of Dynamics; Chapter 6 Stationary Phase Integration; 6.1 One Dimension; 6.2 Example: Airy Function and Linear Ramp Potential; 6.3 Classically Forbidden (Tunneling) Region; 6.4 Kirchhoff Method; 6.5 Kirchhoff Method, Rough Surfaces, and Evanescent Waves; Chapter 7 Feynman Path Integral to Van Vleck Propagator; 7.1 Semiclassical Program; 7.2 Dynamical Postulate of Quantum Dynamics; 7.3 Feynman Path Integral; 7.4 Van Vleck-Morette-Gutzwiller Semiclassical Propagator
7.5 Another Route to the Van Vleck-Morette-Gutzwiller Propagator7.6 Semiclassical Energy Green Function; 7.7 Trace Formula for the Energy Spectrum; 7.8 Closed Orbits for Spectroscopy; 7.9 History; Chapter 8 Stressing the VVMG Propagator; 8.1 Semiclassical Wavepacket Dynamics in an Anharmonic Oscillator; 8.2 Quantum and Semiclassical Revival; 8.3 Autocorrelation and Spectrum in a Chaotic System; 8.4 Anderson Localization; Chapter 9 Phase Space Representations of Wavefunctions and Densities; 9.1 Wigner Phase Space; 9.2 Quantum Flux; 9.3 Husimi Phase Space and Related Distributions; Chapter 10 Gaussian Wavepackets and Linear Dynamics
일반주제명Quantum theory.
SCIENCE / Energy.
SCIENCE / Mechanics / General.
SCIENCE / Physics / General.
언어영어
기타형태 저록Print version:Heller, Eric J.The Semiclassical Way to Dynamics and SpectroscopyPrinceton : Princeton University Press,c20189780691163734
대출바로가기http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1692477

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