Cyclic Darboux $q$-chains

DOI10.1090/S1061-0022-04-00832-5zbMath1062.37099OpenAlexW1505607112MaRDI QIDQ4831269

S. V. Smirnov

Publication date: 29 December 2004

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-04-00832-5

zbMATH Keywords

harmonic oscillator\(q\)-oscillatorDarboux \(q\)-chain

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) General theory of ordinary differential operators (47E05) Difference equations, scaling ((q)-differences) (39A13) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Factorization of Darboux-Laplace transformations for discrete hyperbolic operators

Cites Work

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• Difference analogs of the harmonic oscillator
• Difference Schrödinger operators with linear and exponential discrete spectra
• Dressing chains and the spectral theory of the Schrödinger operator
• Nonlinear chains and Painlevé equations
• Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds
• A simple difference realization of the Heisenberg q-algebra
• Exactly soluble cyclic Darbouxq-chains

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