P T $$ \mathcal{P}\mathcal{T} $$ deformation of angular Calogero models
نویسندگان
چکیده
منابع مشابه
Deformation of two body quantum Calogero-Moser-Sutherland models
The possibility of deformation of two body quantum Calogero-Moser-Sutherland models is studied. Obtained are some necessary conditions for the singular locus of the potential function. Such locus is determined if it consists of two, three or four lines. Furthermore, a new deformation of elliptic B2 type Calogero-Moser-Sutherland model is explicitly constructed.
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A two-dimensional integrable system being a deformation of the rational CalogeroMoser system is constructed via the symplectic reduction, performed with respect to the Sklyanin algebra action. We explicitly resolve the respective classical equations of motion via the projection method and quantize the system.
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We show that the Calogero and Calogero-Sutherland models possess an N -body generalization of shape invariance. We obtain the operator representation that gives rise to this result, and discuss the implications of this result, including the possibility of solving these models using algebraic methods based on this shape invariance. Our representation gives us a natural way to construct supersymm...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2017
ISSN: 1029-8479
DOI: 10.1007/jhep11(2017)122