General Approach to Functional Forms for the Exponential Quadratic Operators in Coordinate-Momentum Space
Quantum Physics
2008-11-26 v1 Computational Physics
Optics
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.
Keywords
Cite
@article{arxiv.quant-ph/9802048,
title = {General Approach to Functional Forms for the Exponential Quadratic Operators in Coordinate-Momentum Space},
author = {Xiang-Bin Wang and C. H. Oh and L. C. Kwek},
journal= {arXiv preprint arXiv:quant-ph/9802048},
year = {2008}
}
Comments
To appear in J. Phys. A: Mathematics and General