Phys. Rev. A 63, 034102 (2001) [3 pages]Solution of the Schrödinger equation for the time-dependent linear potentialReceived 14 September 2000; published 12 February 2001 In this paper I have drawn out the steps to be followed in order to derive the exact Schrödinger 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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.63.034102
DOI:
10.1103/PhysRevA.63.034102
PACS:
03.65.Fd, 03.65.Ge
See AlsoComment: Jarosław Bauer, Comment on “Solution of the Schrödinger equation for the time-dependent linear potential”, Phys. Rev. A 65, 036101 (2002). Comment: H. Bekkar, F. Benamira, and M. Maamache, Comment on “Solution of the Schrödinger equation for the time-dependent linear potential”, Phys. Rev. A 68, 016101 (2003). Reply: I. Guedes, Reply to “Comment on ‘Solution of the Schrödinger equation for the time-dependent linear potential’ ”, Phys. Rev. A 68, 016102 (2003). |
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