The Pöschl-Teller like description of Quantum-Mechanical Carnot engine

Abstract

In this work, an example of a cyclic engine based on quantum-mechanical properties of the strongly non-linear quantum oscillator described by the Pöschl-Teller [PT] model is examined. Using the [PT] model as shown in earlier works, a quantum-mechanical analogue of Carnot cycle (i.e. Quantum heat engine) has been constructed through the changes of both, the width L of the well and its quantum state. This quantum heat engine has a cycle consisting of adiabatic and isothermal quantum processes. The efficiency of the quantum engine based on the Pöschl-Teller-like potential is derived and it's analogous to classical thermodynamic engines.