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Título:
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Spin chains of Haldane-Shastry type and a generalized central limit theorem
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Autores:
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Enciso, Alberto ;
Finkel Morgenstern, Federico ;
González López, Artemio
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Tipo de documento:
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texto impreso
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Editorial:
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American Physical Society, 2009-06
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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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We show that the density of energy levels of a wide class of finite-dimensional quantum systems tends to a Gaussian distribution as the number of degrees of freedom increases. Our result is based on a variant of the central limit theorem which is especially suited to models whose partition function is explicitly known. In particular, we provide a theoretical explanation of the fact that the level density of several spin chains of Haldane-Shastry type is asymptotically Gaussian when the number of sites tends to infinity.
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En línea:
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https://eprints.ucm.es/id/eprint/31287/1/Finkel07libre.pdf
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