Quantum oscillator and a bound system of two dyons

TL;DR

This paper demonstrates that reducing a four-dimensional quantum oscillator's Hamiltonian yields a bound system of two dyons, with explicit wavefunctions and spectrum constructed, linking oscillator models to dyonic systems.

Contribution

It introduces a novel connection between a 4D quantum oscillator and a dyonic bound system through Hamiltonian reduction, providing explicit solutions.

Findings

Wavefunctions of the dyonic system are explicitly constructed.

Spectrum of the bound dyonic system is derived.

The reduction links oscillator models to dyonic physics.

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.