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Functional forms for the squeeze and the time displacement operators

May, 1996
10 pages
Published in:
  • Quant.Semiclass.Opt. 8 (1996) 1061
e-Print:
DOI:
Report number:
  • LA-UR-96-1596,
  • LA-UR-96-1596
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Abstract:
Using Baker-Campbell-Hausdorff relations, the squeeze and harmonic-oscillator time-displacement operators are given in the form exp⁡[δI]exp⁡[α(x 2)]exp⁡[β(x∂)]exp⁡[γ(∂) 2]\exp[\delta I] \exp[\alpha (x~2)]\exp[\beta(x\partial)] \exp[\gamma (\partial)~2], where α\alpha, β\beta, γ\gamma, and δ\delta are explicitly determined. Applications are discussed.
Note:
  • 10 pages, LaTeX