Functional Forms for the Squeeze and the Time-Displacement Operators

Abstract

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.

10 pages, LaTeX

References in corpus (2)

• Analytic Description of the Motion of a Trapped Ion in an Even or Odd Squeezed State
• Supersqueezed States

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• Third-order Optical Nonlinearity in Two-dimensional Transition Metal Dichalcogenides
• Thermalized Displaced and Squeezed Number States in Coordinate Representation
• Displacement-Operator Squeezed States. II. Examples of Time-Dependent Systems Having Isomorphic Symmetry Algebras
• Thermalized Displaced Squeezed Thermal States