Oscillatory difference equations and moment problems

DOI10.1186/1687-1847-2014-110zbMath1417.39032OpenAlexW2140938536WikidataQ59322489 ScholiaQ59322489MaRDI QIDQ1720225

Sandra Pinelas, José M. Ferreira, Andreas Ruffing

Publication date: 8 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-110

zbMATH Keywords

Heim-Lorek polynomialsWess-Ruffing discretization

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Oscillation theory for difference equations (39A21)

Cites Work

• Some basic difference equations of Schrödinger boundary value problems
• The classical moment problem as a self-adjoint finite difference operator
• On the integrability of \(q\)-oscillators based on invariants of discrete Fourier transforms
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• Difference ladder operators for a harmonic Schrödinger oscillator using unitary linear lattices
• Nonautonomous oscillators and coefficient evaluation for orthogonal function systems
• Newq-deformed coherent states with an explicitly known resolution of unity
• New generalized coherent states
• Supersymmetric quantum mechanics based on higher excited states
• Completeness of photon-added squeezed vacuum and one-photon states and of photon-added coherent states on a circle
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