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Title: Solution of the Schro''dinger equation for the time-dependent linear potential

Journal Article · · Physical Review A

In this paper I have drawn out the steps to be followed in order to derive the exact Schro''dinger wave function for a particle in a general one-dimensional time-dependent linear potential. To this end I have used the so-called Lewis and Riesenfeld invariant method, which is based on finding an exact quantum-mechanical invariant in whose eigenstates the exact quantum states are found. In particular, I have obtained the wave functions of a particle in the linear potential well, driven by a monochromatic electric field.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL
Sponsoring Organization:
(US)
OSTI ID:
40206036
Journal Information:
Physical Review A, Vol. 63, Issue 3; Other Information: DOI: 10.1103/PhysRevA.63.034102; Othernumber: PLRAAN000063000003034102000001; 047103PRA; PBD: Mar 2001; ISSN 1050-2947
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English

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