Quantum Leaps and Bounds: Introductory Topics
by
This volume of
QLB
contains a collection of miscellaneous topics in introductory quantum mechanics.
PDF file (191 pages).
The table of contents of this volume is:
- Overview of Quantum Mechanics
- Language of Quantum Mechanics
- Principles of Quantum Mechanics
- Principles of Special Relativity
- Mathematics of Quantum Mechanics
- Machinery of Quantum Mechanics
- Average and Uncertainty
- Average
- Uncertainty
- Optimum state
- Time-energy uncertainty relation
- Pictures of Quantum Mechanics
- Schrodinger picture
- Heisenberg picture
- Interaction picture
- Density Operators
- Density operator for a pure state
- Density operator for a mixed state
- Entropy of a state
- State with given average energy; Boltzmann factors
- Spin 1/2 Particle
- Description of pure states
- Description of mixed states; spin temperature
- Spin 1 Particle
- Spin operators and pure states
- Spherical tensors
- Density operators
- Particle in a Magnetic Field
- Particle in a constant magnetic field; spin precession
- Magnetic resonance
- Observables with Continuous Spectra
- Spectral theorem
- Dirac method
- Spinless Particle in One Dimension
- Position and momentum
- Wave functions
- Optimum state of position and momentum
- Partial differential Schrodinger equation
- Ladder Operators
- One pair of ladder operators
- Ladder operators and angular momentum
- Appendix: Mathematical Preliminaries
- Some properties of linear and antilinear operators
- Commutator and anticommutator identities
- Summation conventions
- Miscellaneous symbols
- Raising and lowering indices
- Dot and cross products of operators
- Rotation matrices
- Lorentz transformation matrices
- Pauli matrices
- Dirac matrices
- Gamma matrices