A perturbative approach to the quantum elliptic Calogero-Sutherland model
Jose Fernandez Nunez, Wifredo Garcia Fuertes, Askold Perelomov (Univ., de Oviedo)
TL;DR
This paper develops a perturbative method to solve the quantum elliptic Calogero-Sutherland model, focusing on the regime where the ratio of the Weierstrass function's semiperiods is small, providing new analytical insights.
Contribution
It introduces a novel perturbative approach to analyze the quantum elliptic Calogero-Sutherland model in a specific parameter regime.
Findings
Derived explicit perturbative solutions for the model
Identified the regime where the perturbation is valid
Provided analytical expressions for energy spectra
Abstract
We solve perturbatively the quantum elliptic Calogero-Sutherland model in the regime in which the quotient between the real and imaginary semiperiods of the Weierstrass function is small
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra