Calogero-like model without rearrangement symmetry
Author:
Miloslav Znojil
Keyword:
Nonlinear Sciences, Exactly Solvable and Integrable Systems, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics (math-ph), Quantum Physics (quant-ph)
journal:
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date:
2023-12-21 00:00:00
Abstract
A new generalization of the Calogero's rational ($A_N$) many-body quantum model is proposed and studied. The key innovation lies in an asymmetrization of the Calogero's two-body interaction. In the generalized model the exact solvability is preserved while the Calogeero's single coupling constant $C$ is replaced by a certain multiplet of freely variable parameters. The resulting Calogero-like Hamiltonian ceases to be re-arrangement-invariant. As a consequence, the degeneracy of the bound-state spectrum gets partially unfolded.