An Implementation of the Polynomial Lie Algebra Methods for Solving a Class of Nonlinear Models in Quantum Optics

Abstract

We develop some calculation schemes to determine dynamics of a wide class of integrable quantum-optical models using their symmetry adapted reformulation in terms of polynomial Lie algebras supd(2). These schemes, based on ”diagonal” representations of model evolution operators (via diagonalizing Hamiltonians with the help of the supd(2) defining relations… (More)

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Cite this paper

@inproceedings{Karassiov2001AnIO, title={An Implementation of the Polynomial Lie Algebra Methods for Solving a Class of Nonlinear Models in Quantum Optics}, author={Valery P. Karassiov and Alexander A. Gusev and Sergue I. Vinitsky}, year={2001} }