Physics NotePublished
Thermodynamic Properties of a Solid Exhibiting the Energy Spectrum given by the Logistic Map
E. M. F. Curado; Marco Aurélio do Rego Monteiro
2000
Publication details
- Authors
- E. M. F. Curado; Marco Aurélio do Rego Monteiro
- Type
- Physics Note
- Status
- Published
- Publication date
- 2000
- Description
- 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.
- Year
- 2000
- Number
- CBPF-NF-028/00
- Linked to a thesis
- No
- Linked to a grant
- No