Auflistung nach Schlagwort "Calogero model"

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  • Algebraic integrability of PT-deformed Calogero models 
    Correa, Francisco; Lechtenfeld, Olaf (Bristol : IOP Publ., 2021)
    We review some recents developments of the algebraic structures and spectral properties of non-Hermitian deformations of Calogero models. The behavior of such extensions is illustrated by the A2 trigonometric and the D3 ...
  • Calogero models and nonlocal conformal transformations 
    Galajinsky, Anton; Lechtenfeld, Olaf; Polovnikov, Kirill (Amsterdam : Elsevier Science, 2006)
    We propose a universal method of relating the Calogero model to a set of decoupled particles on the real line, which can be uniformly applied to both the conformal and nonconformal versions as well as to supersymmetric ...
  • Calogero, spherically reduced and PT-deformed 
    Correa, Francisco; Lechtenfeld, Olaf (Trieste : Scuola Internazionale Superiore di Studi Avanzati (S I S S A), 2016)
    The rational Calogero model based on the An- 1 root system is spherically reduced to a superintegrable angular model of a particle moving on Sn- 2 subject to a very particular potential singular at the Weyl chamber walls. ...
  • A Casimir operator for a Calogero W algebra 
    Correa, Francisco; Leal, Gonzalo; Lechtenfeld, Olaf; Marquette, Ian (Bristol : IOP Publ., 2024)
    We investigate the nonlinear algebra W 3 generated by the 9 functionally independent permutation-symmetric operators in the three-particle rational quantum Calogero model. Decoupling the center of mass, we pass to a smaller ...
  • N-extended supersymmetric Calogero models 
    Krivonos, Sergey; Lechtenfeld, Olaf; Sutulin, Anton (Amsterdam : Elsevier B.V., 2018)
    We propose a new N-extended supersymmetric su(n) spin-Calogero model. Employing a generalized Hamiltonian reduction adopted to the supersymmetric case, we explicitly construct a novel rational n-particle Calogero model ...
  • The tetrahexahedric angular Calogero model 
    Correa, F.; Lechtenfeld, O. (Bristol : IOP Publ., 2017)
    We investigate the spherical reduction of the rational An-1 Calogero model. It defines a quantum superintegrable model of a particle trapped in one of n! spherical (n-2)-simplices on S n-2 in a special Sn -symmetric ...