Page 6 - PRINCIPLES OF QUANTUM MECHANICS as Applied to Chemistry and Chemical Physics
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vi Contents
3.4 Eigenfunction expansions 75
3.5 Simultaneous eigenfunctions 77
3.6 Hilbert space and Dirac notation 80
3.7 Postulates of quantum mechanics 85
3.8 Parity operator 94
3.9 Hellmann±Feynman theorem 96
3.10 Time dependence of the expectation value 97
3.11 Heisenberg uncertainty principle 99
Problems 104
Chapter 4 Harmonic oscillator 106
4.1 Classical treatment 106
4.2 Quantum treatment 109
4.3 Eigenfunctions 114
4.4 Matrix elements 121
4.5 Heisenberg uncertainty relation 125
4.6 Three-dimensional harmonic oscillator 125
Problems 128
Chapter 5 Angular momentum 130
5.1 Orbital angular momentum 130
5.2 Generalized angular momentum 132
5.3 Application to orbital angular momentum 138
5.4 The rigid rotor 148
5.5 Magnetic moment 151
Problems 155
Chapter 6 The hydrogen atom 156
6.1 Two-particle problem 157
6.2 The hydrogen-like atom 160
6.3 The radial equation 161
6.4 Atomic orbitals 175
6.5 Spectra 187
Problems 192
Chapter 7 Spin 194
7.1 Electron spin 194
7.2 Spin angular momentum 196
7.3 Spin one-half 198
7.4 Spin±orbit interaction 201
Problems 206
