A $q$-deformation of the Coulomb Problem

Abstract

The algebra of observables of $S{O}_q(3)$-symmetric quantum mechanics is extended to include the inverse $\frac{1}{R}$ of the radial coordinate and used to obtain eigenvalues and eigenfunctions of a \q-deformed Coulomb Hamiltonian.

17 pages, LaTeX

References in corpus (2)

• Reality in the Differential Calculus on q-euclidean Spaces
• The $q$-deformed Schrödinger Equation of the Harmonic Oscillator on the Quantum Euclidian Space

Cited by in corpus (2)

• q-deformed harmonic and Clifford analysis and the q-Hermite and Laguerre polynomials
• q deformation by intertwining with application to the singular oscillator