Self-similarity in Spectral Problems and q-special Functions

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dc.creatorLoutsenko, I.
dc.creatorSpiridonov, V.
dc.date1999-09-21
dc.date.accessioned2026-07-07T06:17:53Z
dc.date.available2026-07-07T06:17:53Z
dc.descriptionSimilarity symmetries of the factorization chains for one-dimensional differential and finite-difference Schrödinger equations are discussed. Properties of the potentials defined by self-similar reductions of these chains are reviewed. In particular, their algebraic structure, relations to $q$-special functions, infinite soliton systems, supersymmetry, coherent states, orthogonal polynomials, one-dimensional Ising chains and random matrices are outlined.
dc.identifierhttps://arxiv.org/abs/solv-int/9909022
dc.identifierhttp://arxiv.org/abs/solv-int/9909022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94548
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.titleSelf-similarity in Spectral Problems and q-special Functions
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