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

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

1998-02-18

arxiv.org/abs/quant-ph/9802048v1

J.Phys.A31:4329-4336,1998

Physics

Quantum Physics

To appear in J. Phys. A: Mathematics and General

Scientific paper

10.1088/0305-4470/31/18/020

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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