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We present an optimal analysis for a Quantum-Mechanical version of the Carnot-like cycle which consists of two isoenergetic and two adiabatic processes, using diatomic molecules i.e. Morse Oscilltor as a working substance by changing bot its Quantum state n and width L of the well which moves at a finite speed. We derive the expression of power output and replicate the expression for the efficiency at maximum power., 14 pages, 3 figures

The quantum engine cycle serves as an analogous representation of classical heat engines for microscopic systems and the quantum regime of thermal devices is composed of a single element. In this work, the Quantum-Mechanical properties of a non-linear quantum oscillator described by the Woods-Saxon [WS] model are examined. The Quantum-Mechanical analogue of the Carnot cycle was constructed using changes in both the width L of the well and the quantum state of the potential well. The efficiency of the quantum engine, consisting of adiabatic and isothermal processes based on the Woods-Saxon [WS] potential is derived. The result is shown to be analogous to that of the classical engine and found to agree, within an appropriate limit, with existing results obtained from other potential models. This implies that the [WS] potential can be used as an alternative model in quantum engines., 12 pages, 1 figure

In this study, we solve the Klein-Gordon equation with equal scalar and vector q-deformed hyperbolic modified P��schl-Teller potential. The explicit expressions of bound state spectra and the normalized eigenfunctions for s-wave bound states are obtained analytically. The energy equations and the corresponding wave functions for the special cases of the equally mixed q-deformed hyperbolic modified P��schl-Teller potential for spinless particle are briefly discussed., 11 pages, 1 figure