Time-dependent Schrödinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations
Michael Martin Nieto, D. Rodney Truax
Abstract
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.
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