SUSY Associated Vector Coherent States and Generalized Landau Levels Arising From 2-dimensional SUSY

TL;DR

This paper introduces a method for constructing vector coherent states for supersymmetric partner Hamiltonians, applying it to generalized Landau levels related to the fractional quantum Hall effect, with explicit examples provided.

Contribution

It presents a novel approach to vector coherent states for SUSY partner Hamiltonians and applies it to generalized Landau levels in quantum Hall systems.

Findings

Constructed vector coherent states for SUSY partner Hamiltonians

Applied the method to generalized Landau levels in quantum Hall effect

Provided explicit examples demonstrating the approach

Abstract

We describe a method for constructing vector coherent states for quantum supersymmetric partner Hamiltonians. The method is then applied to such partner Hamiltonians arising from a generalization of the fractional quantum Hall effect. Explicit examples are worked out.