Polynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations
量子物理
2009-11-07 v1
摘要
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 a polynomial Lie algebra and related spectral representations of the model evolution operator realized in algorithmic forms. It enabled us to implement computer experiments exhibiting a satisfactory accuracy of the cluster approximations in a large range of characteristic model parameters.
引用
@article{arxiv.quant-ph/0112040,
title = {Polynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations},
author = {V. P. Karassiov and A. A. Gusev and S. I. Vinitsky},
journal= {arXiv preprint arXiv:quant-ph/0112040},
year = {2009}
}
备注
LaTex file, 13 pages, 3 figures