No abstract

In this paper we use the Nikiforv-Uvarov method to obtain the approximate solutions of the Klein-Gordon equation with deformed five parameter exponential type potential (DFPEP) model. We also obtain the solutions of the Schrödinger equation in the presence of the DFPEP in the non-relativistic limits. In addition, we calculate in the nonrelativistic limits the thermodynamics properties such as vibrational mean energy U,free energy F and the specific heat capacity C . Special cases of the potential are also discussed.

No abstract

No abstract

No abstract

In this paper, the deformation of the ordinary quantum mechanics is formulated based on the idea of conformable fractional calculus. Some properties of fractional calculus and fractional elementary functions are investigated. The fractional wave equation in 1 + 1 dimension and fractional version of the Lorentz transformation are discussed. Finally, the fractional quantum mechanics is formulated; infinite potential well problem, density of states for the ideal gas, and quantum harmonic oscillator problem are discussed. KEYWORDSthe fractional calculus, the fractional quantum mechanics, the fractional wave equation MSC CLASSIFICATION 26A33; 34A08Math Meth Appl Sci. 2020;43:6950-6967. wileyonlinelibrary.com/journal/mma

No abstract

This paper contains a discussion of a relativistic spin-0 system in the presence of a Gödel-type background space-time. The Duffin-Kemmer-Petiau (DKP) equation in the presence of a Gödel-type background space-time is studied in detail. After a derivation of the final form of this equation in the considered framework, free spin-0 particles have been studied.