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
Quantum mechanics is a core subject in any undergraduate physics course, since it is the basis for all modern descriptions of the structure and behaviour of matter. This book provides an introduction to the theoretical foundations of quantum mechanics for students of experimental physics. It is intended as an intermediate text for those who have already completed an introductory course in quantum physics.
A resume and discussion of the phenomena which led to the development of quantum mechanics is given in the first chapter, and the mathematical structure of the theory is developed gradually throughout the text, along with the necessary mathematical tools. Although a mathematical presentation is essential, the emphasis is on understanding the need for the formatlism and the nature of the calculations involved rather than on technical mathematical skills.
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