Thermodynamic properties of a solid exhibiting the energy spectrum given by the logistic map

We show that the infinite-dimensional representation of the recently introduced logistic algebra can be interpreted as a nontrivial generalization of the Heisenberg or oscillator algebra. This allows us to construct a quantum Hamiltonian having the energy spectrum given by the logistic map. We analy...

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Veröffentlicht in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. - 1993. - 61(2000), 6 Pt A vom: 27. Juni, Seite 6255-60
1. Verfasser: Curado (VerfasserIn)
Weitere Verfasser: Rego-Monteiro
Format: Aufsatz
Sprache:English
Veröffentlicht: 2000
Zugriff auf das übergeordnete Werk:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Schlagworte:Journal Article
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520 |a We show that the infinite-dimensional representation of the recently introduced logistic algebra can be interpreted as a nontrivial generalization of the Heisenberg or oscillator algebra. This allows us to construct a quantum Hamiltonian having the energy spectrum given by the logistic map. We analyze the Hamiltonian of a solid whose collective modes of vibration are described by this generalized oscillator and compute the thermodynamic properties of the model in the two-cycle and r=3.6785 chaotic region of the logistic map 
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