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Preface vii
Quantum Kinematics Reviewed 1
Schrodinger's wave function 1
Digression: Vectors, coordinates, and all that 3
Dirac's kets and bras 10
xp transformation function 16
Position operator, momentum operator, functions of them 20
Traces and statistical operators 24
Algebraic completeness of operators X and P 32
Weyl commutator, Baker-Campbell-Hausdorff relations 37
Quantum Dynamics Reviewed 41
Temporal evolution 41
Time transformation functions 49
Examples 53
Force-free motion 53
Time-dependent spreads 58
Uncertainty ellipse 60
Constant force 63
Time-dependent force 67
Harmonic oscillator 72
Ladder operators 78
Coherent states 84
Completeness of the coherent states 88
Fock states and coherent states 90
Time dependence 92
Two-dimensional harmonic oscillator 98
Isotropy 98
Eigenstates 102
Orbital AngularMomentum 107
Commutation relations 107
Eigenvalues and eigenstates 113
Differential operators. Polar coordinates 117
Differential operators. Spherical coordinates 120
Hydrogen-like Atoms 125
Hamilton operator, Schrodinger equation 125
Wave functions 129
Two-dimensional harmonic oscillator 129
Hydrogenic atoms 133
Approximation Methods 139
Hellmann-Feynman theorem 139
Virial theorem 142
Rayleigh-Ritz variational method 145
Rayleigh-Schrodinger perturbation theory 153
Brillouin-Wigner perturbation theory 159
Perturbation theory for degenerate states 164
Linear Stark effect 166
WKB approximation 172
Index 185
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