Weak-QES extensions of the Calogero model
Y. Brihaye, P. Kosinski
TL;DR
This paper introduces extensions to the Calogero model that allow for algebraic computation of a finite set of eigenvectors, broadening the model's analytical tractability.
Contribution
It presents new Hamiltonian families extending the Calogero model with algebraic eigenvector solutions for some states.
Findings
Finite eigenvector sets can be computed algebraically
Extensions maintain integrability properties
New Hamiltonians expand solvable model classes
Abstract
We construct families of Hamiltonians extending the Calogero model and such that a finite number of eigenvectors can be computed algebraically.
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