A New Formula to Obtain Exact Green's Functions of
Time-Dependent Schrödinger Equation |
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Authors: | Axel Schulze-Halberg |
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Institution: | Department of Mathematics, Swiss Federal Institute of
Technology Zürich (ETH), ETH-Zentrum HG E 18.4, CH-8092 Zürich, Switzerland |
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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.] |
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Keywords: | Green's function space-time transformation |
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