Os estados coerentes via álgebra de Wigner-Heisenberg e sua aplicação no oscilador de Celka-Hussin.

Abstract

In this paper we discuss the coherent states of Celka Hussin (CH) oscillators. Also we have presented for these states overcompleteness and non-orthogonality properties. To achieve this purpose we used the work by Jayaraman and Rodrigues [1994] . These authors built the coherent states for the Hamiltonian of the bosonic sector of Wigner hamiltonian, (Hw), and discussed the eigenfunctions of Celka Hussin Hamiltonian . (HCH). We revised the study of Jayaraman and Rodrigues to clarified the methodology to obtain the coherent states of the bosonic sector of Wigner oscillators in the first, and following, we applied this procedure to obtain the coherent states of Celka-Hussin oscillators.