坐标动量空间中指数二次算子函数形式的一般方法
General Approach to Functional Forms for the Exponential Quadratic Operators in Coordinate-Momentum Space
摘要：
在最近的一篇论文[Nieto M M 1996 Quantum and Semiclassical Optics，8 1061; quant-ph/9605032]中，一维压缩和谐振子时间位移算符在坐标动量空间中被重排。本文给出了坐标-动量空间中多维指数二次算子（EQO）的一般重排方法。通过谐振子的压缩算符和时间位移算符，给出了单模和双模EQO的显式计算公式。
英文摘要：
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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