| Preface. List of symbols and physical constants Chapter 1 A review of the origins of quantum theory 1.1 ... and there was light! 1.2 The quantization of energy 1.3 Particle/wave duality 1.4 The two-slit diffraction experiment 1.5 Uncertainty and indeterminacy 1.6 Non-classical phenomena References Problems Chapter 2 The state of a quantum system 2.1 The classical description of the state of a particle 2.2 The wave function for a single particle 2.3 Measurements on a quantum system 2.4 The wave function for a free particle 2.5 Free particle beams and scattering experiments References Problems Chapter 3 The representation of dynamical variables 3.1 Eigenvalue equations 3.2 Energy eigenstates 3.3 Bound states of a particle in a one-dimensional square potential well 3.4 Scattering by a one-dimensional potential step 3.5 Scattering by a one-dimensional square well References Problems Chapter 4 More about dynamical variables 4.1 Compatible and incompatible variables 4.2 The angular momentum operators 4.3 The radial momentum operator 4.4 The parity operator 4.5 Orbital angular momentum eigenfunctions and eigen alues 4.6 Angular distributions in orbital angular momentum eigenstates 4.7 Rotational energy in orbital angular momentum eigenstates References Problems Chapter 5 5.1 The energy spectrum of a one-dimensional simple harmonic oscillator 5.2 The energy eigenfunctions of the one-dimensional simple harmonic oscillator 5.3 Vibrational spectra of molecules and nuclei 5.4 Thermal oscillation, phonons and photons References Problems Chapter 6 ladder operators: angular momentum Chapter 7 Symmetry and the solution of the schrodinger equation Chapter 8 Magnetic effects in quantum systems Chapter 9 The superposition principle Chapter 10 The matrix formulation of quantum mechanics Chapter 11 Approximate methods for solving the Schrodinger equation Chapter 12 Time-dependent problems Chapter 13 many-particle systems Chapter 14 Coherence in quantum mechanics Appendix A The two-body problem in classical mechanics Appendix B Analytical solutions of eigenvalue equations Appendix C The computer demonstrations Index |
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