Intertwining relations for the matrix Calogero-like models: supersymmetry and shape invariance

DOI10.1088/0305-4470/35/35/306zbMath1066.81547arXivhep-th/0209110OpenAlexW3098806995MaRDI QIDQ4466082

A. I. Neelov, Mikhail V. Ioffe

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0209110

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Supersymmetry and quantum mechanics (81Q60)

Related Items (10)

SUSY method for the three-dimensional Schrödinger equation with effective mass ⋮ Two-dimensional supersymmetry: from SUSY quantum mechanics to integrable classical models ⋮ The spherical sector of the Calogero model as a reduced matrix model ⋮ Exact solvability of a two-dimensional real singular Morse potential ⋮ Spectrum-generating symmetries for the Superpotentials \(A\) cot \(\theta \) and \(B\) tanh \(y\) ⋮ Solution of second order supersymmetrical intertwining relations in Minkowski plane ⋮ Exactly solvable two-dimensional complex model with a real spectrum ⋮ New two-dimensional quantum models with shape invariance ⋮ Dynamical symmetry group and quantum splittings for a free particle on the group manifold AdS3 ⋮ Multidimensional quasi-exactly solvable potentials with two known eigenstates

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