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Proceedings Paper

Polynomial supd(2) Lie algebra techniques in solving the second-harmonic generation model: comparison of exact and approximate calculations
Author(s): Valery P. Karassiov; A. A. Gusev; Sergey I. Vinitsky
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Paper Abstract

We compare exact and SU(2)-cluster approximate calculation schemes to determine dynamics of the second-harmonic generation model using its reformulation in terms of the polynomial Lie algebra supd(2). These schemes, based on diagonal representations of the model evolution operator (due to diagonalizing the model Hamiltonian) and realized in the algorithmic forms, enabled us to implement computer experiments exhibiting a satisfactory accuracy of the cluster approximations in a large range of characteristic model parameters.

Paper Details

Date Published: 3 June 2002
PDF: 9 pages
Proc. SPIE 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II, (3 June 2002); doi: 10.1117/12.469594
Show Author Affiliations
Valery P. Karassiov, P.N. Lebedev Physical Institute (Russia)
A. A. Gusev, Joint Institute for Nuclear Research (Russia)
Sergey I. Vinitsky, Joint Institute for Nuclear Research (Russia)


Published in SPIE Proceedings Vol. 4706:
Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II

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