Basic-deformed quantum mechanics

DOI10.1016/S0034-4877(09)90021-0zbMath1204.81095arXiv0911.1627OpenAlexW2009571968MaRDI QIDQ963205

A. Lavagno

Publication date: 8 April 2010

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1627

zbMATH Keywords

\(q\)-calculusdeformed Schrödinger equationbasic-hypergeometric functions

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of basic hypergeometric functions (33D90) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (12)

q-Titchmarsh-Weyl theory: series expansion ⋮ Applications of \(q\)-difference symmetric operator in harmonic univalent functions ⋮ Certain fractional \(q\)-symmetric integrals and \(q\)-symmetric derivatives and their application ⋮ Fractional \(q\)-symmetric calculus on a time scale ⋮ Nonlocal \(q\)-symmetric integral boundary value problem for sequential \(q\)-symmetric integrodifference equations ⋮ Variational methods for fractional \(q\)-Sturm-Liouville problems ⋮ On fractional \(q\)-Sturm-Liouville problems ⋮ On the heat and wave equations with the Sturm-Liouville operator in quantum calculus ⋮ Uniqueness for an inverse quantum-Dirac problem with given Weyl function ⋮ A position-dependent mass harmonic oscillator and deformed space ⋮ DYNAMICS OF INFORMATION IN THE PRESENCE OF DEFORMATION ⋮ Non-Archimedean quantum mechanics via quantum groups

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