Quantum Mechanics of a Particle with Two Magnetic Impurities

TL;DR

This paper investigates the quantum behavior of a particle in a harmonic potential influenced by two magnetic impurities, analyzing the spectrum and wave functions through numerical methods.

Contribution

It introduces a model of a particle coupled to two magnetic impurities with different strengths and explores its spectral properties using numerical analysis.

Findings

Low-lying energy states computed numerically

Wave functions are linear combinations of 2D harmonics

Qualitative spectral features analyzed

Abstract

A two-dimensional quantum mechanical system consisting of a particle coupled to two magnetic impurities of different strengths, in a harmonic potential, is considered. Topological boundary conditions at impurity locations imply that the wave functions are linear combinations of two-dimensional harmonics. A number of low-lying states are computed numerically, and the qualitative features of the spectrum are analyzed.