sl(2) variational schemes for solving one class of quantum nonlinear models

1996/08/12 by V. P. Karassiov, Karassiov, V. P.
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9608016

9 pages, LATEX

arxiv created 1996/08/12 · arxiv updated 2009/12/01

Abstract

Hamiltonians of a wide-spread class of G_inv-invariant nonlinear quantum models, including multiboson and frequency conversion ones, are expressed as non-linear functions of sl(2) generators. It enables us to use standard variational schemes, based on sl(2) generalized coherent states as trial functions, for solving both spectral and evolution tasks. In such a manner a new analytical expression is found for energy spectra in a mean-field approximation which is beyond quasi-equidistant ones obtained earlier.

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