Quantum Leaps and Bounds: Some Lorentz Invariant Systems
by
This volume of QLB
gives examples of some Lorentz invariant systems of
particles.
PDF file (159 pages).
The table of contents of this volume is:
- Introductory Remarks
- Spinless Particle
- Fundamental dynamical variables
- Poincare generators
- Space-time transformation operators
- Wave functions
- Some transformed wave functions
- Equation for the coordinate-space wave function
- Klein-Gordon equation
- Particle With Spin
- Fundamental dynamical variables
- Poincare generators
- Space-time transformation operators
- Wave functions
- Helicity eigenkets
- Dirac Particle
- Fundamental dynamical variables
- Poincare generators
- Pryce-Foldy-Wouthuysen picture
- Spin
- Zitterbewegung
- Dirac's discovery of the Dirac Hamiltonian
- Dirac matrices; gamma matrices revisited
- Coordinate-space wave function; Dirac equation
- Momentum-space and energy-helicity wave functions
- Space inversion and time reversal
- Pryce-Foldy-Wouthuysen picture revisited
- Energy projectors; energy-helicity spinors
- Most general solution of the Dirac equation
- Electron in an electromagnetic field; magnetic moment
- Negative-energy states and Dirac's hole theory
- System of n Particles
- Fundamental dynamical variables
- Interacting particles; the Bakamjian-Thomas construction
- Scattering theory; generalized Faddeev equations
- Coupled 2- and 3-particle System
- Hilbert space; particle creation and annihilation
- Scattering theory; generalized Faddeev equations