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A New Formula to Obtain Exact Green's Functions of Time-Dependent Schrödinger Equation
Authors:Axel Schulze-Halberg
Institution:Department of Mathematics, Swiss Federal Institute of Technology Zürich (ETH), ETH-Zentrum HG E 18.4, CH-8092 Zürich, Switzerland
Abstract:We obtain a new relation between Green's functions of the time-dependent Schrödinger equation for stationary potentials and Green's functions of the same equation for certain time-dependent potentials. The relation obtained here emerges very easily from a transformation introduced by Ray J.R. Ray, Phys. Rev. A26 (1982) 729] and generalizes former work of Dodonov, et al. V.V. Dodonov, V.I. Man'ko, and D.E. Nikonov, Phys. Lett. A162 (1992) 359.]
Keywords:Green's function  space-time transformation                                                                                                                                                              
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