Quantum oscillator and a bound system of two dyons

Abstract

It is shown that $U(1)$--Hamiltonian reduction of a four--dimensional isotropic quantum oscillator results in a bound system of two spinless Schwinger's dyons. Its wavefunctions and spectrum are constructed.

6 pages, LaTeX, corrections in Introduction

Cited by in corpus (13)

• (Super)Oscillator on CP(N) and Constant Magnetic Field
• Coulomb-oscillator duality in spaces of constant curvature
• The generalized MIC-Kepler system
• Hidden Symmetry of the Yang--Coulomb System
• Non-Relativistic Holography -- A Group-Theoretical Perspective
• ${\mathbb{C}}^N$-Smorodinsky-Winternitz system in a constant magnetic field
• 4D singular oscillator and generalized MIC-Kepler system
• The charge-dyon bound system in the spherical quantum well
• Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
• Quantum oscillator as 1D anyon
• Massless geodesics in $Ad{S}_5\times Y(p,q)$ as a superintegrable system
• Four dimensional quantum oscillator and magnetic-monopole with U(1) dynamical group
• Generalized MICZ-Kepler systems on three-dimensional sphere and hyperboloid