arXiv : Rational deformations of conformal mechanics
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DOI: 10.1103/physrevd.98.026017
Abstract: We study deformations of the quantum conformal mechanics of De Alfaro-Fubini-Furlan with rational additional potential term generated by applying the generalized Darboux-Crum-Krein-Adler transformations to the quantum harmonic oscillator and by using the method of dual… read more here.
Keywords: mechanics; deformations conformal; arxiv rational; conformal mechanics ... See more keywords
Klein four-group and Darboux duality in conformal mechanics
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DOI: 10.1103/physrevd.99.125016
Abstract: The Klein four-group symmetry of the eigenvalue problem equation for the conformal mechanics model of de Alfaro-Fubini-Furlan (AFF) with coupling constant $g=\nu(\nu+1)\geq -1/4$ undergoes a complete or partial (in the case of half-integer values of… read more here.
Keywords: darboux duality; conformal mechanics; klein four; four group ... See more keywords
Higher-Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics
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DOI: 10.1155/2018/6263150
Abstract: The dynamical symmetries of -dimensional Matrix Partial Differential Equations with a Calogero potential (with/without the presence of an extra oscillatorial de Alfaro-Fubini-Furlan, DFF, term) are investigated. The first-order invariant differential operators induce several invariant algebras… read more here.
Keywords: algebra; spin symmetries; higher spin; conformal mechanics ... See more keywords