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

Physics – Quantum Physics

Scientific paper

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LaTeX, 18 pages, new format, edited

Scientific paper

10.1063/1.533268

In this paper, we focus on a general class of Schr\"odinger equations that are time-dependent and quadratic in X and P. We transform Schr\"odinger 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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