The singular values of the logarithmic potential transform on bound states spaces of Landau Hamiltonian

TL;DR

This paper explicitly calculates the singular values of the logarithmic potential transform on the generalized Bergmann space, analyzing their behavior at infinity to deepen understanding of spectral properties in this context.

Contribution

It provides an explicit computation of singular values for the logarithmic potential transform on bound states spaces of the Landau Hamiltonian, a novel spectral analysis.

Findings

Explicit formulas for singular values are derived.

Behavior of singular values at infinity is characterized.

Insights into spectral properties of the Landau Hamiltonian are gained.

Abstract

The singular values of the logarithmic potential transform on the generalized Bergmann space is calculated explicitly, too behavior in infinity