Document Type : Original Article
Author
Assistant Professor- University of Tabriz
Abstract
In this paper, we study the non-classicality characteristic of the anharmonic oscillator created with the fourth and sixth-order perturbed potential by using the non-classicality indicator introduced by Sadeghi et. al. in the real representations of Wigner, Husimi and Rivier are shown that the non-classicality behavior of the system is the same in all three representations and with the increase of the anharmonic parameter, the non-classicality feature of the system increases. Also, using the Tsallis entropy in the quantum phase space with the help of the nonextensivity parameter based on the probability distribution functions of Wigner and Husimi. According to the non-extensivity parameter, , unequal to 1, it is evident that the obtained information from the state under consideration is not complete in the Wigner and Husimi representations and some information using both probability distribution functions is unavailable. The values of the nonextensivity parameters of entropy in all three representations show that the extracted information in the Wigner and Rivier representations is more than the information appearing in the Husimi representation.
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