An Introduction to Quantum Theory

F.S. Levin

794 pages, parution le 14/02/2002

Ajouter à une liste

Indisponible

Résumé

Underpinning the axiomatic formulation of quantum theory presented in this undergraduate textbook is a review of early experiments, a comparison of classical and quantal terminology, a Schroedinger-equation treatment of the one-dimensional quantum box, and a survey of relevant mathematics. Among the many concepts comprehensively discussed are: operators; state vectors and wave functions; experimental observables; classical/quantal connections; and symmetry properties. The theory is applied to a wide variety of systems including the non-relativistic H-atom, external electromagnetic fields, and spin1/2. Collisions are described using wave packets. Various time-dependent and time-independent approximations are discussed; applications include electromagnetic transition rates and corrections to the H-atom energies. The final chapter deals with identical-particle symmetries and their application to the He atom, the Periodic Table and diatomic molecules. There are also brief treatments of advanced subjects such as gauge invariance and hidden variables.

Contents

Preface
Ch. 1 The Need for a Non-Classical Description of Microscopic Phenomena 3
Ch. 2 Classical Concepts and Quantal Inequivalences 27
Ch. 3 Introducing Quantum Mechanics: A Comparison of the Classical Stretched String and the Quantal Box 46
Ch. 4 Mathematical Background 84
Ch. 5 The Postulates of Quantum Mechanics 129
Ch. 6 Applications of the Postulates: Bound States in One Dimension 174
Ch. 7 Applications of the Postulates: Continuum States in One Dimension 230
Ch. 8 Quantal/Classical Connections 281
Ch. 9 Commuting Operators, Quantum Numbers, Symmetry Properties 307
Ch. 10 Orbital Angular Momentum 365
Ch. 11 Two-Particle Systems, Potential-Well Bound-State Problems 396
Ch. 12 Electromagnetic Fields 451
Ch. 13 Intrinsic Spin, Two-State Systems 487
Ch. 14 Generalized Angular Momentum and the Coupling of Angular Momenta 517
Ch. 15 Three-Dimensional Continuum States/Scattering 555
Ch. 16 Time-Dependent Approximation Methods 599
Ch. 17 Time-Independent Approximation Methods 644
Ch. 18 Many Degrees of Freedom: Atoms and Molecules 689
App. A Elements of Probability Theory 756
App. B Fourier Series and Integrals 763
App. C Solution of Legendre's Equation 771
App. D Fundamental and Derived Quantities: Conversion Factors 775
References 776
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	F.S. Levin
Parution	14/02/2002
Nb. de pages	794
Format	17,8 x 25,4
Couverture	Broché
Poids	1234g
Intérieur	Noir et Blanc
EAN13	9780521598415
ISBN13	978-0-521-59841-5