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Full Description
This text presents a rigorous mathematical account of the principles of quantum mechanics, in particular as applied to chemistry and chemical physics. Applications are used as illustrations of the basic theory. The first two chapters serve as an introduction to quantum theory, although it is assumed that the reader has been exposed to elementary quantum mechanics as part of an undergraduate physical chemistry or atomic physics course. Following a discussion of wave motion leading to Schrödinger's wave mechanics, the postulates of quantum mechanics are presented along with essential mathematical concepts and techniques. The postulates are rigorously applied to the harmonic oscillator, angular momentum, the hydrogen atom, the variation method, perturbation theory, and nuclear motion. Modern theoretical concepts such as hermitian operators, Hilbert space, Dirac notation, and ladder operators are introduced and used throughout. This text is appropriate for beginning graduate students in chemistry, chemical physics, molecular physics and materials science.
Contents
1. The wave function; 2. Schrödinger wave mechanics; 3. General principles of quantum theory; 4. Harmonic oscillator; 5. Angular momentum; 6. Hydrogen atom; 7. Spin; 8. Systems of identical particles; 9. Approximation methods; 10. Molecular structure; Appendix A. Mathematical formulas; Appendix B. Fourier series and Fourier integral; Appendix C. Dirac delta function; Appendix D. Mermite polynomials; Appendix E. Legendre and associated Legendre polynomials; Appendix F. Laguerre and associated Laguerre polnomials; Appendix G Series solutions of differential equations; Appendix H. Recurrence relation for hydrogen-atom expectation values; Appendix I. Matrices; Appendix J. Evaluation of two-electron interaction integral.
