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- W2040767595 abstract "We show that the infinite-dimensional representation of the recently introduced Logistic algebra can be interpreted as a non-trivial generalization of the Heisenberg or oscillator algebra. This allow 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." @default.
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- W2040767595 title "Thermodynamic properties of a solid exhibiting the energy spectrum given by the logistic map" @default.
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- W2040767595 doi "https://doi.org/10.1103/physreve.61.6255" @default.
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