Quantum inverse scattering method for the q-boson model and symmetric functions

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dc.creatorTsilevich, N. V.
dc.date2005-10-20
dc.date.accessioned2026-07-07T06:47:04Z
dc.date.available2026-07-07T06:47:04Z
dc.descriptionThe purpose of this paper is to show that the quantum inverse scattering method for the so-called q-boson model has a nice interpretation in terms of the algebra of symmetric functions. In particular, in the case of the phase model (corresponding to q=0), the creation operator is essentially the operator of multiplication by the generating function of the complete homogeneous symmetric functions, and the wave functions are expressed in terms of the Schur functions. The general case of the q-boson model is related in the same way to the Hall-Littlewood symmetric functions.
dc.description13 pages. To appear in Funct. Anal. Appl
dc.identifierhttps://arxiv.org/abs/math-ph/0510073
dc.identifierhttp://arxiv.org/abs/math-ph/0510073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103536
dc.subjectMathematical Physics
dc.subject82B20; 05E05
dc.titleQuantum inverse scattering method for the q-boson model and symmetric functions
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