Two Different Squeeze Transformations

Abstract

Lorentz boosts are squeeze transformations. While these transformations are similar to those in squeezed states of light, they are fundamentally different from both physical and mathematical points of view. The difference is illustrated in terms of two coupled harmonic oscillators, and in terms of the covariant harmonic oscillator formalism.

9 pages, LaTex, no figures, presented at the 4th International Conference on Squeezed States and Uncertainty Relations (Taiyuan, Shanxi, China, June 5-8, 1995)