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出版社:世界圖書出版公司
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ISBN:9787519219222
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作者:(德)瓦克泰
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頁數:371
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出版日期:2017-01-01
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印刷日期:2017-01-01
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包裝:平裝
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開本:24開
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版次:1
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印次:1
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字數:316千字
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由德國瓦克泰所著的《相對論量子力學(英文版) 》是一部典型的教科書,架構清晰有序。每節前有簡 短概述,每章有習題及其解答。全書分為3大章。前2 章詳述了Klein-Gordon和Dirac理論等,第3章討論 了相對論散射過程,費曼法則等內容。讀者對像:物 理學專業的大學高年級本科生和低年級研究生。
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List of Exercises 1. Relativistic Description of Spin-O Particles 1.1 Klein-Gordon Equation 1.1.1 Canonical and Lorentz-covariant Formulations of the Klein-Gordon Equation 1.1.2 Hamilton Formulation of the Klein-Gordon Equation 1.1.3 Interpretation of Negative Solutions.Antiparticles Exercises 1.2 Symmetry Transformations 1.2.1 Active and Passive Transformations 1.2.2 Lorentz Transformations 1.2.3 Discrēte Transformations Exercises 1.3 One-Particle Interpretation of the Klein-Gordon Theory 1.3.1 Generalized Scalar Product 1.3.2 One-particle Operators and Feshbach.Villars Representation 1.3.3 Validity Range of the One-particle Concept 1.3.4 Klein Paradox. Exercises 1.4 Nonrelativistic Approximation of the Klein-Gordon Theory 1.4.1 Nonrelativistic Limit 1.4.2 Relativistic Corrections Exercises 1.5 Simple One-Particle Systems 1.5.1 Potential Well 1.5.2 Radial Klein-Gordon Equation 1.5.3 Free Particle and Spherically Symmetric Potential Well 1.5.4 Coulomb Potential 1.5.5 Oscillator-Coulomb Potential Exercises 2. Relativistic Description of Spin-1/2 Particles 2.1 Dirac Equation 2.1.1 Canonical Formulation of the Dirac Equation 2.1.2 Dirac Equation in Lorentz-Covariant Form 2.1.3 Properties of γ-Matrices and Covariant Bilinear Forms 2.1.4 Spin Operator 2.1.5 Projection Operators 2.1.6 Interpretation of Negative Solutions, Antiparticles and Hole Theory Exercises 2.2 Symmetry Transformations 2.2.1 Proper Lorentz Transformations 2.2.2 Spin of Dirac Solutions 2.2.3 Discrete Transformations Exercises 2.3 One-Particle Interpretation of the Dirac Theory 2.3.1 One-Particle Operators and Feshbach-Villars Representation 2.3.2 Validity Range of the One-Particle Concept 2.3.3 Klein Paradox Exercises 2.4 Nonrelativistic Approximation of the Dirac Theory 2.4.1 Nonrelativistic Limit 2.4.2 Relativistic Corrections Exercises 2.5 Simple One-Particle Systems 2.5.1 Potential Well 2.5.2 Radial Form of the Dirac Equation 2.5.3 Free Particle and Centrally Symmetric Potential Well 2.5.4 Coulomb Potential Exercises 3. Relativistic Scattering Theory 3.1 Review:Nonrelativistic Scattering Theory 3.1.1 Solution of the General Schr?dinger Equation 3.1.2 Propagator Decomposition by Schr?dinger Solutions 3.1.3 Scattering Formalism 3.1.4 Coulomb Scattering. Exercises 3.2 Scattering of Spin-1/2 Particles 3.2.1 Solution of the General Dirac Equation 3.2.2 Fourier Decomposition of the Free Fermion Propagator 3.2.3 Scattering Formalism 3.2.4 Trace Evaluations with-γ-Matrices Exercises 3.3 Spin-1/2 Scattering Processes 3.3.1 Coulomb Scattering of Electrons 3.3.2 Electron-Proton Scattering(Ⅰ) 3.3.3 Electron-Proton Scattering(Ⅱ) 3.3.4 Preliminary Feynman Rules in Momentum Space 3.3.5 Electron-Electron Scattering 3.3.6 Electron-Positron Scattering 3.3.7 Compton Scattering against Electrons 3.3.8 Electron-Positron Annihilation 3.3.9 Conclusion:Feynman Diagrams in Momentum Space Exercises 3.4 Higher Order Corrections 3.4.1 Vacuum Polarization 3.4.2 Self-Energy 3.4.3 Vortex Correction 3.4.4 Physical Consequences Exercises. 3.5 Scattering of Spin-O Particles. 3.5.1 Solution of the General Klein-Gordon Equation 3.5.2 Scattering Formalism 3.5.3 Coulomb Scattering of Pions 3.5.4 Pion-Pion Scattering 3.5.5 Pion Production via Electrons 3.5.6 Compton Scattering against Pions 3.5.7 Conclusion:Enhanced Feynman Rules in Momentum Space Exercises A.Appendlx A.1 Theory of Special Relativity A.2 Bessel Functions, Spherical Bessel Functions A.3 Legendre Functions,Legendre Polynomials, Spherical Harmonics. A.4 Dirac Matrices and Bispinors Index
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