Título:
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Nonlinear pseudo-supersymmetry in the framework of N-fold supersymmetry
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Autores:
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González López, Artemio ;
Tanaka, Toshiaki
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Tipo de documento:
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texto impreso
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Editorial:
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IOP Publishing, 2006-04-07
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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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We recall the importance of recognizing the different mathematical nature of various concepts relating to PT -symmetric quantum theories. After clarifying the relation between supersymmetry and pseudo-supersymmetry, we prove generically that nonlinear pseudo-supersymmetry, recently proposed by Sinha and Roy, is just a special case of N -fold supersymmetry. In particular, we show that all the models constructed by these authors have type A 2-fold supersymmetry. Furthermore, we prove that an arbitrary one-body quantum Hamiltonian which admits two (local) solutions in closed form belongs to type A 2-fold supersymmetry, irrespective of whether or not it is Hermitian, PT -symmetric, pseudo-Hermitian, and so on.
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En línea:
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https://eprints.ucm.es/32752/1/gonzalezlopez17preprint.pdf
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