q-Deformation of the Coulomb problem

DOI10.1063/1.530466zbMath0815.45002OpenAlexW2015507266MaRDI QIDQ4317947

F.-L. Chan, Robert Finkelstein

Publication date: 2 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530466

zbMATH Keywords

wave functions\(q\)-deformationCoulomb problemirreducible representations of the quantum group

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Eigenvalue problems for integral equations (45C05) Linear integral equations (45A05) Integral equations with miscellaneous special kernels (45H05)

Related Items

The q-Coulomb problem ⋮ A q-deformation of the Coulomb problem ⋮ The q-Coulomb problem in configuration space ⋮ On fractional \((p,q)\)-calculus ⋮ Energy spectrum of the two-dimensional \(q\)-hydrogen atom ⋮ On the second-order quantum \((p, q)\)-difference equations with separated boundary conditions ⋮ The orthogonality relations for SUq(2) ⋮ The q-isotropic oscillator ⋮ Remarks on quantum deformation of quasi-exactly solvable problems ⋮ \(q\)-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

• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• The \(\text{GL}_ q(2)\) gauge theory
• On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra U q(su2)
• q deformations of the oscillator