An Introduction to Quantum Theory

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F. S. LevinCambridge University Press, 12/10/2001EAN 9780521591614, ISBN10: 0521591619Hardcover, 808 pages, 24.4 x 17 x 4.3 cmLanguage: EnglishUnderpinning the axiomatic formulatio n 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.PrefacePart I. Introductory1. The need for a non-classical description of microscopic phenomena2. Classical concepts and quantal inequivalencies3. Introducing quantum mechanicsa comparison of the classical stretched string and the quantal box4. Mathematical backgroundPart II. The Central Concepts5. The postulates of quantum mechanics6. Applications of the postulatesbound states in one dimension7. Applications of the postulatescontinuum states in one dimension8. Quantal/classical connections9. Commuting operators, quantum numbers, symmetry propertiesPart III. Systems with Few Degrees of Freedom10. Orbital angular momentum11. Two-particle systems, potential-well bound state problems12. Electromagnetic fields13. Intrinsic spin, two-state systems14. Generalized angular momentum and the coupling of angular momenta15. Three-dimensional continuum states/scatteringPart IV. Complex Systems16. Time-dependent approximation methods17. Time-independent approximation methods18. Many degrees of freedomatoms and moleculesAppendix A. Elements of probability theoryAppendix B. Fourier series and integralsAppendix C. Solution of Legendre's equationAppendix D. Fundamental and derived quantities, conversion factorsReferences.‘… [a] sound reliable text, suitable for students with the appropriate abilities and background.’ Alastair Rae, Times Higher Education Supplement Show more