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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Quantum behavior encompasses a large fraction of modern science and technology, including the laws of chemistry and the properties of crystals, semiconductors, and superfluids. This graduate-level text presents the basic principles of quantum mechanics using modern mathematical techniques and theoretical concepts, such as hermitian operators, Hilbert space, Dirac notation, and ladder operators. The first two chapters serve as an introduction to quantum theory with a discussion of wave motion and Schrödinger's wave mechanics. Coverage then details the fundamental principles of quantum mechanics. Throughout, basic theory is clearly illustrated and applied to the harmonic oscillator, angular momentum, the hydrogen atom, the variation method, perturbation theory, and nuclear motion. This volume is the ideal textbook 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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