Application of Fibonacci oscillators in the Debye model

In this paper we study the thermodynamics of a crystalline solid by applying q-deformed algebra of Fibonacci oscillators through the generalized Fibonacci sequence of two real and independent deformation parameters q1 and q2. We find a (q1, q2)-deformed Hamiltonian and consequently the q- defor...

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Principais autores: Marinho, André A. A., Brito, F. A., Feitosa, Carlos Chesman de Araújo
Formato: article
Idioma:English
Publicado em: JOURNAL OF PHYSICS. CONFERENCE SERIES
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Endereço do item:https://repositorio.ufrn.br/handle/123456789/44960
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Resumo:In this paper we study the thermodynamics of a crystalline solid by applying q-deformed algebra of Fibonacci oscillators through the generalized Fibonacci sequence of two real and independent deformation parameters q1 and q2. We find a (q1, q2)-deformed Hamiltonian and consequently the q- deformed thermodynamic quantities. The results led us to interpret the deformation parameters acting as disturbance or impurities factors modifying the characteristics of a crystal structure. More specifically, we found the possibility of adjusting the Fibonacci oscillators to describe the change of thermal conductivity of a given element as one inserts impurites