量子力学,统计学和聚合物物理学中的路径积分 第2版
2003-6
北京世图
H.Kleinert
891
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Since this book first appeared three years ago,a number of important developments have taken place calling for various extensions to the text.
Chapter 4 now contains a discussion of the features of the xemiclassical quantization which are relevant for multidimensional chaotic systems.
本书为英文版。
1 Fundamentals 1.1 Classical Mechanics 1.2 Quantum Mechanics 1.3 Dirac's Bra-Ket Formalism 1.4 Boservables 1.5 Quantum Mechanics of General Lagrangian Systems 1.6 Particle on the Surface of a Sphere 1.7 Spinning Top 1.8 Time Evolution Operator 1.9 Properties of the Time Evolution Operator 1.10 Heisenberg Picture of Quantum Mechanics 1.11 Classical and Quantum Statistics Appendix 1A The Asymmetric Top Notes and References2 Path Integrals-Elementary Properties and Simple Solutions 2.1 Path Integral Representation of Time Evolution Amplitudes 2.2 Exact Solution for a Free Particle 2.3 Finite-E Properties of the Free-Paticle Amplitued 2.4 Exact Solution for the Harmonic Oscillator 2.5 Useful Fluctuation Formulas 2.6 Oscillator Amplitude on a Finite Lattice 2.7 Gelfand-Yaglom Formula 2.8 Oscillator Wave Functions 2.9 Path Integrals and Quantum Statistics 2.10 Density Matrix 2.11 Quamtum Statstics of Harmonic Oscillator 2.12 Time-Dependent Harmonic Potential 3.13 Functional Measure in Fourier Space 3.14 Classical Limit 3.15 Calculation Techniques on a Finite Sliced Time Axis Poisson Formula ……3 External Sources,Correlations,and Prturbation Theory4 Semicalssical Time Evolution Amplitued5 Variational Perturbaion Theory6 Path Integrals with Topological Constraints7 Many Particle Orbits-Statistics and Second Quantization8 Path Integrals in Spherical Coordinates9 Fixed-Energy Amplitude and Wave Functions10 Short-Time Amplitude in Spaces with Curvature and Torsion11 Schrodinger Equation in General Metric-Affine Sapces12 New Path Integral Formula for Singular Potentials13 Path Integral of the Coulomb System14 Solution of Futher Path Ingerals by the Duru-Kleinert Method15 Path Integrals in Polymer Physics16 Polymers and Particle Orbits in Multiply Connected Spaces17 Path Integrals and Tunneling18 Path Integrals and Nonequilibrium Quantum Statistics19 Path Integrals for Relativistic Particle OrbitsIndex
Since this book first appeared three years ago,a number of important developments have taken place calling for various extensions to the text.Chapter 4 now contains a discussion of the features of the xemiclassical quantization which are relevant for multidimensional chaotic systems. 本书为英文版。
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