Europhysics Letters (EPL)

New analytic solution of Schrödinger's equation

Hichem Eleuch, Yuri V. Rostovtsev, Marlan O. Scully

Published Mar 1, 2010• 40 citations

Abstract

We obtain an analytic solution beyond adiabatic approximation by transferring the 1D Schrödinger equation into the Ricatti equation. Then we show that our solution is more accurate than JWKB approximation. The generalizations of the approach to 3D are suggested, and possible applications of obtained solutions are discussed.

DOI: 10.1209/0295-5075/89/50004

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