Abstarct: In this thesis, we investigated Carnot, Otto and Stirling engines in the quantum deformed formalism and we compared the obtain results by its ordinary case that its substance is a quantum particle in the box. In the first, we studied the parameters such as energy, force, work done, heat transferred and efficiency by using of the Schrödinger equation and then we analyzed the Schrödinger equation in the deformed formalism. We calculated the parameters that related to three cycles by using of Schrödinger equation in the deformed formalism and obtained to force, work done, heat transferred and efficiency in the deformed formalism in each three cycles. Then we showed the effect of the deformed parameter on the efficiency and we showed when this parameter goes to zero in three cycles, we can obtain the ordinary cases.