| Description |
1 online resource (481 pages) |
| Series |
Frontiers in Physics |
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Frontiers in physics.
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| Contents |
Cover; Half Title; Title Page; Copyright Page; Dedication; Editor's Foreword; Preface to the Paperback Edition; Preface; Table of Contents; 1: Introduction; 1.1 The quantum propagator; 1.2 Old quantum theory; 1.2.1 A ball bouncing off a moving wall; 1.2.2 A pendulum with variable string length; 1.2.3 The phase space of a simple harmonic oscillator; 1.2.4 Three-dimensional anisotropic harmonic oscillator; 1.3 Wave packets in Rydberg atoms; 1.3.1 The large-n limit in the Bohr atom; 1.3.2 Where are the periodic orbits in quantum mechanics?; 1.4 Chaotic motion: atoms in a magnetic field |
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1.4.1 Scaling of classical Hamiltonian and chaos1.4.2 Quasi-Landau resonances in atomic photoabsorption; 1.5 Chaos and periodic orbits in mesoscopic systems; 1.5.1 Ballistic magnetoresistance in a cavity; 1.5.2 Scars in the wave function; 1.5.3 Tunneling in a quantum diode with a tilted magnetic field; 1.5.4 Electron transport in a superlattice of antidots; 1.6 Problems; 2: Quantization of integrable systems; 2.1 Introduction; 2.2 Hamiltonian formalism and the classical limit; 2.3 Hamilton-Jacobi theory and wave mechanics; 2.4 The WKB method; 2.4.1 WKB in one dimension |
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2.4.2 WKB for radial motion2.5 Torus quantization: from WKB to EBK; 2.6 Examples; 2.6.1 The two-dimensional hydrogen atom; 2.6.2 The three-dimensional hydrogen atom; 2.6.3 The two-dimensional disk billiard; 2.7 Connection to classical periodic orbits; 2.7.1 Example: The two-dimensional rectangular billiard; 2.8 Transition from integrability to chaos; 2.8.1 Destruction of resonant tori; 2.8.2 The model of Walker and Ford; 2.9 Problems; 3: The single-particle level density; 3.1 Introduction; 3.1.1 Level density and other basic tools; 3.1.2 Separation of g(E) into smooth and oscillating parts |
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3.2 Some exact trace formulae3.2.1 The linear harmonic oscillator; 3.2.2 General spectrum depending on one quantum number; 3.2.3 One-dimensional box; 3.2.4 More-dimensional spherical harmonic oscillators; 3.2.5 Harmonic oscillators at finite temperature; 3.2.6 Three-dimensional rectangular box; 3.2.7 Equilateral triangular billiard; 3.2.8 Cranked or anisotropic harmonic oscillator; 3.3 Problems; 4: The extended Thomas-Fermi model; 4.1 Introduction; 4.2 The Wigner distribution function; 4.3 The Wigner-Kirkwood expansion; 4.4 The extended Thomas-Fermi model |
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4.4.1 The ETF model at zero temperature4.4.2 The ETF density variational method; 4.4.3 The finite-temperature ETF model; 4.5 Bose-Einstein condensation in a trap; 4.5.1 BEC in an ideal trapped bose gas; 4.5.2 Inclusion of interactions in a dilute gas; 4.6 Ä expansion for cavities and billiards; 4.6.1 The Euler-MacLaurin expansion; 4.6.2 The Weyl expansion; 4.6.3 Black-body radiation in a small cavity; 4.7 The Strutinsky method; 4.7.1 The energy averaging method; 4.7.2 The shell-correction method; 4.7.3 Relation between ETF and Strutinsky averaging; 4.8 Problems |
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5: Gutzwillerâ#x80;#x99;s trace formula for isolated orbits |
| Notes |
Print version record |
| Subject |
Path integrals.
|
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Quantum theory.
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Mechanics.
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Quantum Theory
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Mechanics
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mechanics (physics)
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Mechanics
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Path integrals
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Quantum theory
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| Form |
Electronic book
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| Author |
Bhaduri, Rajat K
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| ISBN |
9780429982453 |
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0429982453 |
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