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General Approach to Functional Forms for the Exponential Quadratic Operators in Coordinate-Momentum Space

Xiang-Bin Wang·C. H. Oh·L. C. Kwek
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Abstract

In a recent paper [Nieto M M 1996 Quantum and Semiclassical Optics, 8 1061; quant-ph/9605032], the one dimensional squeezed and harmonic oscillator time-displacement operators were reordered in coordinate-momentum space. In this paper, we give a general approach for reordering multi-dimensional exponential quadratic operator(EQO) in coordinate-momentum space. An explicit computational formula is provided and applied to the single mode and double-mode EQO through the squeezed operator and the time displacement operator of the harmonic oscillator.

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Xiang-Bin Wang, C. H. Oh, L. C. Kwek. 1998-02-18. General Approach to Functional Forms for the Exponential Quadratic Operators in Coordinate-Momentum Space. https://doi.org/10.1088/0305-4470/31/18/020

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