Generalized Heisenberg Algebras and Fibonacci Series

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dc.creatorde Souza, J.
dc.creatorCurado, E. M. F.
dc.creatorRego-Monteiro, M. A.
dc.date2007-02-15
dc.date.accessioned2026-07-07T07:49:05Z
dc.date.available2026-07-07T07:49:05Z
dc.descriptionWe have constructed a Heisenberg-type algebra generated by the Hamiltonian, the step operators and an auxiliar operator. This algebra describes quantum systems having eigenvalues of the Hamiltonian depending on the eigenvalues of the two previous levels. This happens, for example, for systems having the energy spectrum given by Fibonacci sequence. Moreover, the algebraic structure depends on two functions f(x) and g(x). When these two functions are linear we classify, analysing the stability of the fixed points of the functions, the possible representations for this algebra.
dc.description24 pages, 2 figures, subfigure.sty
dc.identifierhttps://arxiv.org/abs/math-ph/0702053
dc.identifierhttp://arxiv.org/abs/math-ph/0702053
dc.identifierJournal of Physics A: Math. Gen. 39 (2006) 10415
dc.identifierdoi:10.1088/0305-4470/39/33/011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124721
dc.subjectMathematical Physics
dc.subjectOther Condensed Matter
dc.subjectQuantum Physics
dc.titleGeneralized Heisenberg Algebras and Fibonacci Series
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