A q-deformation of the Coulomb problem

DOI10.1063/1.531471zbMath0865.17022arXivhep-th/9507116OpenAlexW3103280851MaRDI QIDQ5284434

Peter G. O. Freund, James A. Feigenbaum

Publication date: 27 February 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9507116

zbMATH Keywords

algebra of observables\(q\)-Coulomb \(S\) matrixBalmer-type spectrumpositive-energy wave functionsselfadjoint \(q\)-deformation of Coulomb Hamiltonian

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Atomic physics (81V45) Applications of basic hypergeometric functions (33D90)

Related Items (5)

On sequential fractional Caputo \((p, q)\)-integrodifference equations via three-point fractional Riemann-Liouville \((p, q)\)-difference boundary condition ⋮ On fractional \((p,q)\)-calculus ⋮ On the second-order quantum \((p, q)\)-difference equations with separated boundary conditions ⋮ \(q\)-deformation by intertwining with application to the singular oscillator ⋮ Existence results of nonlocal Robin boundary value problems for fractional \((p,q)\)-integrodifference equations

Cites Work

• Reality in the differential calculus on \(q\)-Euclidean spaces
• THE SO_q(N, R)-SYMMETRIC HARMONIC OSCILLATOR ON THE QUANTUM EUCLIDEAN SPACE ${\bf R}_q^N$ AND ITS HILBERT SPACE STRUCTURE
• THE q-DEFORMED SCHRÖDINGER EQUATION OF THE HARMONIC OSCILLATOR ON THE QUANTUM EUCLIDEAN SPACE
• q-Deformation of the Coulomb problem

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