dorsal/arxiv
View SchemaSelf-similarity in Spectral Problems and q-special Functions
| Authors | I. Loutsenko, V. Spiridonov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9909022 |
| URL | https://arxiv.org/abs/solv-int/9909022 |
Abstract
Similarity symmetries of the factorization chains for one-dimensional differential and finite-difference Schr\"odinger 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.
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"abstract": "Similarity symmetries of the factorization chains for one-dimensional\ndifferential and finite-difference Schr\\\"odinger equations are discussed.\nProperties of the potentials defined by self-similar reductions of these chains\nare reviewed. In particular, their algebraic structure, relations to\n$q$-special functions, infinite soliton systems, supersymmetry, coherent\nstates, orthogonal polynomials, one-dimensional Ising chains and random\nmatrices are outlined.",
"arxiv_id": "solv-int/9909022",
"authors": [
"I. Loutsenko",
"V. Spiridonov"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"title": "Self-similarity in Spectral Problems and q-special Functions",
"url": "https://arxiv.org/abs/solv-int/9909022"
},
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