The category of ladders

DOI10.1007/S00025-010-0032-6zbMath1193.81028OpenAlexW1966284223MaRDI QIDQ977714

Stefan Hilger

Publication date: 23 June 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0032-6

zbMATH Keywords

orthogonal polynomialsWeyl algebraHodge theoremcanonical commutator relationsladder theorySchrödinger harmonic oscillator

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (7)

p-deformation ⋮ Linear graininess time scales and ladder operators of orthogonal polynomials ⋮ Factorization method applied to the second order difference equations ⋮ Algebra embedding of \(U_{q}(sl(2))\) into the tensor product of two \((q,h)\)-Weyl algebras. ⋮ Hermite type ladders in q-Weyl algebras ⋮ Factorization of (q, h)-difference operators – an algebraic approach ⋮ Factorization method on time scales

Cites Work

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• Factorization method in quantum mechanics
• The discrete and periodic heat and harmonic oscillator equation
• Generalized \(q\)-Hermite polynomials

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