The investigation of Carnot engine in the presence of deformed formalism

Abstract

In this paper, after introducing a kind of q-deformation in quantum mechanics, first q-deformed form of Schrodinger equation for a single particle in a box is derived. Then, the energy eigenvalues and wave function in Schrodinger equation are studied. Also, we discuss the Carnot cycle by using of the energy eigenvalues. We obtain the thermodynamic properties such as force, heat transferred, work done and efficiency in the cycle. Finally, all results have satisfied what we had expected before.