Exactly solvable three-body Calogero-type model with translucent two-body barriers

Abstract

A new exactly solvable alternative to the Calogero three-particle model is proposed. Sharing its confining long-range part, it contains the mere zero-range two-particle barriers. Their penetrability gives rise to a tunneling, tunable via their three independent strengths. Their variability can control the removal of the degeneracy of the energy levels in an innovative, non-perturbative manner.

10 pages in Latex, 2 ps figures

References in corpus (1)

• Exactly Solvable Three-body SUSY Systems with Internal Degrees of Freedom

Cited by in corpus (7)

• Non-Hermitian supersymmetry and singular PT symmetrized oscillators
• PT symmetric models in more dimensions and solvable square-well versions of their angular Schroedinger equations
• Anomalous doublets of states in a PT symmetric quantum model
• PT-symmetric regularizations in supersymmetric quantum mechanics
• Applications of the potential algebras of the two-dimensional Dirac-like operators
• Multi-well log-anharmonic oscillators
• Calogero-like model without rearrangement symmetry