Functional Forms for the Squeeze and the Time-Displacement Operators

Details Functional Forms for the Squeeze and the Time-Displacement Operators Functional Forms for the Squeeze and the Time-Displacement Operators

1996-05-22

arxiv.org/abs/quant-ph/9605032v1

Quant.Semiclass.Opt. 8 (1996) 1061

Physics

Quantum Physics

10 pages, LaTeX

Scientific paper

10.1088/1355-5111/8/5/011

Using Baker-Campbell-Hausdorff relations, the squeeze and harmonic-oscillator
time-displacement operators are given in the form $\exp[\delta I]
\exp[\alpha (x^2)]\exp[\beta(x\partial)] \exp[\gamma (\partial)^2]$, where
$\alpha$, $\beta$, $\gamma$, and $\delta$ are explicitly determined.
Applications are discussed.

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