Quantum Mechanics: From Basic Principles to Numerical Methods and Applications

1 A Crisis in Classical Physics.- 2 Finite-Dimensional Vector Spaces.- 3 Finite-Dimensional State Spaces.- 4 Spin and Magnetic Moment.- 5 Particle in One Dimension.- 6 The Interpretation of Quantum Mechanics.- 7 Particle in Three Dimensions.- 8 Numerical Solution.- 9 The Central-Field Model.- 10 Stationary Perturbations.- 11 Stationary Scattering States.- 12 The Density Operator.- 13 Symmetry of the Hamiltonian.- 14 Rotations and Angular Momentum.- 15 Dirac's Relativistic Equation.- 16 The Path Integral.- 17 Atomic Orbitals.- 18 Atomic Terms and Multiplets.- 19 Semiclassical Radiation Theory.- 20 Molecules.- 21 Long-Distance Correlations and Measurement.- Answers to Selected Exercises.- References.