New analytic solution of Schrödinger's equation
Institute for Quantum Studies and Department of Physics, Texas A&M University - College Station, TX, USA
2 Applied Physics and Materials Science Group, Princeton University - Princeton, NJ, USA
3 Department of Physics, University of North Texas - Denton, TX, USA
Accepted: 18 February 2010
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.
PACS: 03.65.-w – Quantum mechanics
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