Numerical solution of time-dependent Schrodinger equation for multiphoton processes: A matrix iterative method

Nurhuda M, Faisal F (1999)
PHYSICAL REVIEW A 60(4): 3125-3133.

Journal Article | Published | English

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Abstract
An implicit algorithm for integration of the three-dimensional (3D) time-dependent Schrodinger equation of an atomic system interacting with intense laser pulses is developed. It is based on a matrix iteration of the Crank-Nicholson approximant to the short-time propagator using the total Hamiltonian (unsplit) of the system directly. To test the method, 3D Schrodinger wave-packet propagation is carried out, and so-called above-threshold ionization and high-harmonic generation spectra for atomic hydrogen irradiated by intense laser pulses are obtained. They are also compared with that obtained using the popular split-operator method. The present algorithm is shown to provide an alternative to the the split-operator method, and proves to be more efficient in all the cases studied here. A procedure for optimizing the maximum grid size is also given, and its usefulness is illustrated. [S1050-2947(99)06409-4].
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Nurhuda M, Faisal F. Numerical solution of time-dependent Schrodinger equation for multiphoton processes: A matrix iterative method. PHYSICAL REVIEW A. 1999;60(4):3125-3133.
Nurhuda, M., & Faisal, F. (1999). Numerical solution of time-dependent Schrodinger equation for multiphoton processes: A matrix iterative method. PHYSICAL REVIEW A, 60(4), 3125-3133.
Nurhuda, M., and Faisal, F. (1999). Numerical solution of time-dependent Schrodinger equation for multiphoton processes: A matrix iterative method. PHYSICAL REVIEW A 60, 3125-3133.
Nurhuda, M., & Faisal, F., 1999. Numerical solution of time-dependent Schrodinger equation for multiphoton processes: A matrix iterative method. PHYSICAL REVIEW A, 60(4), p 3125-3133.
M. Nurhuda and F. Faisal, “Numerical solution of time-dependent Schrodinger equation for multiphoton processes: A matrix iterative method”, PHYSICAL REVIEW A, vol. 60, 1999, pp. 3125-3133.
Nurhuda, M., Faisal, F.: Numerical solution of time-dependent Schrodinger equation for multiphoton processes: A matrix iterative method. PHYSICAL REVIEW A. 60, 3125-3133 (1999).
Nurhuda, M, and Faisal, Farhard. “Numerical solution of time-dependent Schrodinger equation for multiphoton processes: A matrix iterative method”. PHYSICAL REVIEW A 60.4 (1999): 3125-3133.
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