Título:
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Quasi-exactly solvable Lie superalgebras of differential operators
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Autores:
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Finkel Morgenstern, Federico ;
González López, Artemio ;
Rodríguez González, Miguel Ángel
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Tipo de documento:
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texto impreso
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Editorial:
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IOP publishing ltd, 1997-10-07
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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In this paper, we study Lie superalgebras of 2 x 2 matrix-valued first-order differential operators on the complex line. We first completely classify all such superalgebras of finite dimension. Among the finite-dimensional superalgebras whose odd subspace is non-trivial, we find those admitting a finite-dimensional invariant module of smooth vector-valued functions, and classify all the resulting finite-dimensional modules. The latter Lie superalgebras and their modules are the building blocks in the construction of quasi-exactly solvable quantum mechanical models for spin-1/2 particles in one dimension.
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En línea:
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https://eprints.ucm.es/32710/1/Finkel37preprint.pdf
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