Principles of Quantum Mechanics: As Applied to Chemistry and Chemical Physics

Ön Kapak
Cambridge University Press, 26 Ağu 1999 - 351 sayfa
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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 Schrdinger'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.
 

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İçindekiler

2 Schrödinger wave mechanics
36
3 General principles of quantum theory
65
4 Harmonic oscillator
106
5 Angular momentum
130
6 The hydrogen atom
156
7 Spin
194
8 Systems of identical particles
208
9 Approximation methods
232
Appendix C Dirac delta function
292
Appendix D Hermite polynomials
296
Appendix E Legendre and associated Legendre polynomials
301
Appendix F Laguerre and associated Laguerre polynomials
310
Appendix G Series solutions of differential equations
318
Appendix H Recurrence relation for hydrogenatom expectation values
329
Appendix I Matrices
331
Appendix J Evaluation of the twoelectron interaction integral
341

10 Molecular structure
263
Appendix A Mathematical formulas
281
Appendix B Fourier series and Fourier integral
285

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