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Phys. Rev. A 65, 063403 (2002) [5 pages]

Spectral fitting method for the solution of time-dependent Schrödinger equations: Applications to atoms in intense laser fields

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Haoxue Qiao1, Qingyu Cai1, Jianguo Rao1, and Baiwen Li1,2
1Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan, 430071, People’s Republic of China
2Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, People’s Republic of China

Received 6 February 2002; published 5 June 2002

A spectral fitting method for solving the time-dependent Schrödinger equation has been developed and applied to the atom in intense laser fields. This method allows us to obtain a highly accurate time-dependent wave function with a contribution from the high-order term of t. Moreover, the time-dependent wave function is determined on a small number of discrete mesh points, thus making calculations simple and accurate. This method is illustrated by computing wave functions and harmonic generation spectra of a model atom in laser fields.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.063403
DOI:
10.1103/PhysRevA.65.063403
PACS:
32.80.Wr, 32.80.Rm, 32.80.Qk, 42.50.Hz