by Y S Kim (Univ. Maryland) & M. E Noz (New York Univ.)

This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrödinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.

• Phase Space in Classical Mechanics
• Forms of Quantum Mechanics
• Wigner Phase- Space Distribution Functions
• Linear Canonical Transformations in Quantum Mechanics
• Coherent and Squeezed States
• Phase-Space Picture of Coherent and Squeezed States
• Lorentz Transformations
• Covariant Harmonic Oscillators
• Lorentz-Squeezed Hadrons
• Space-Time Geometry of Extended Particles