Calogero-like model without rearrangement symmetry

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.

30 pages, 9 figures

References in corpus (5)

• Physics and Mathematics of Calogero particles
• PT-symmetric deformations of integrable models
• The quantum angular Calogero-Moser model
• PT-symmetric deformations of Calogero models
• From real fields to complex Calogero particles