Quantum Leaps and Bounds: Relativistic Quantum Mechanics
by
This volume of
QLB
gives an introduction to incorporating special relativity
in quantum mechanics.
PDF file (121 pages).
The table of contents of this volume is:
- Introductory Remarks
- Introduction to the Poincare Algebra
- Poincare Algebra defined
- Comments on the Poincare Algebra
- Poincare Transformations
- Poincare transformations of apparatuses
- Lorentz invariance of a physical system
- Unitary Poincare operators
- Rotations and 3-vector operators
- Lorentz boosts and 4-vector operators
- Transformations of the Poincare generators
- More About the Poincare Algebra
- Derivation of the Poincare Algebra
- Manifest covariance
- Lorentz invariants; invariant mass; Pauli-Lubanski four-vector
- Matrix representations of the Lorentz Algebra; gamma matrices
- Space Inversion and Time Reversal
- Space inversion; parity
- Time reversal
- Centre of Mass Position, Internal Angular Momentum, Helicity
- Conditions and commutation relations
- Newton-Wigner-Pryce position operator; internal angular momentum
- Helicity; Lorentz invariance for a zero-mass system
- Space-time transformations; Einstein addition of velocities; Wigner
rotation