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

Wang, Xiang-Bin; Oh, C. H.; Kwek, L. C.

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

Authors

Wang, Xiang-Bin

Oh, C. H.

Kwek, L. C.

Description

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