On exact singular wave functions for identical planar charged particles in uniform perpendicular magnetic field
A.Ralko, T.T.Truong
TL;DR
This paper explores the existence and characteristics of exact singular wave functions for two identical charged particles in a plane under a perpendicular magnetic field, highlighting their potential role in quantum statistics.
Contribution
It introduces specific exact singular wave functions for identical particles in a magnetic field, advancing understanding of anyonic states in planar quantum systems.
Findings
Identification of exact singular wave functions for the system
Analysis of their properties and implications for quantum statistics
Potential applications in quantum Hall effects
Abstract
We discuss the occurence and properties of exact singular anyonic wave functions describing stationary states of two identical charged particles moving on a plane and under the influence of a perpendicular uniform magnetic field.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Quantum chaos and dynamical systems · Atomic and Molecular Physics