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arXiv quant-ph/9811075quant-ph
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具有同构对称代数的含时薛定谔方程。I.相关方程类

Time-dependent Schrödinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations

Michael Martin Nieto, D. Rodney Truax

摘要:

本文研究了一类广义的X和P上的二次含时薛定谔方程,通过一类含时质量方程,将这类方程中的薛定谔方程转化为一类可解的含时振子方程.这个变换包括一个么正变换和一个“时间”变量的变化。我们推导了这种变换的数学约束条件,并介绍了两个例子。

英文摘要:

In this paper, we focus on a general class of Schrödinger equations that are time-dependent and quadratic in X and P. We transform Schrödinger equations in this class, via a class of time-dependent mass equations, to a class of solvable time-dependent oscillator equations. This transformation consists of a unitary transformation and a change in the ``time'' variable. We derive mathematical constraints forthe transformation and introduce two examples.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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