A Course in Theoretical Physics

P. John Shepherd 지음

Wiley 2013년 01월 10일 출간

작품소개

책소개

This book is a comprehensive account of five extended modules covering the key branches of twentieth-century theoretical physics, taught by the author over a period of three decades to students on bachelor and master university degree courses in both physics and theoretical physics.The modules cover nonrelativistic quantum mechanics, thermal and statistical physics, many-body theory, classical field theory (including special relativity and electromagnetism), and, finally, relativistic quantum mechanics and gauge theories of quark and lepton interactions, all presented in a single, self-contained volume.In a number of universities, much of the material covered (for example, on Einstein's general theory of relativity, on the BCS theory of superconductivity, and on the Standard Model, including the theory underlying the prediction of the Higgs boson) is taught in postgraduate courses to beginning PhD students.A distinctive feature of the book is that full, step-by-step mathematical proofs of all essential results are given, enabling a student who has completed a high-school mathematics course and the first year of a university physics degree course to understand and appreciate the derivations of very many of the most important results of twentieth-century theoretical physics.

목차

Notation xiiiPreface xvI NONRELATIVISTIC QUANTUM MECHANICS 11 Basic Concepts of Quantum Mechanics 31.1 Probability interpretation of the wave function 31.2 States of definite energy and states of definite momentum 41.3 Observables and operators 51.4 Examples of operators 51.5 The time-dependent Schr¨odinger equation 61.6 Stationary states and the time-independent Schr¨odinger equation 71.7 Eigenvalue spectra and the results of measurements 81.8 Hermitian operators 81.9 Expectation values of observables 101.10 Commuting observables and simultaneous observability 101.11 Noncommuting observables and the uncertainty principle 111.12 Time dependence of expectation values 121.13 The probability-current density 121.14 The general form of wave functions 121.15 Angular momentum 151.16 Particle in a three-dimensional spherically symmetric potential 171.17 The hydrogen-like atom 182 Representation Theory 232.1 Dirac representation of quantum mechanical states 232.2 Completeness and closure 272.3 Changes of representation 282.4 Representation of operators 292.5 Hermitian operators 312.6 Products of operators 312.7 Formal theory of angular momentum 323 Approximation Methods 393.1 Time-independent perturbation theory for nondegenerate states 393.2 Time-independent perturbation theory for degenerate states 443.3 The variational method 503.4 Time-dependent perturbation theory 544 Scattering Theory 634.1 Evolution operators and Møller operators 634.2 The scattering operator and scattering matrix 664.3 The Green operator and T operator 704.4 The stationary scattering states 764.5 The optical theorem 834.6 The Born series and Born approximation 854.7

출판사 서평

“The book is self-contained, and should be comprehensible to anyone who completed high-school mathematics.”& (Book News, 1 June 2013)

작가정보

저자(글) P. John Shepherd