Quantum Lenoir Engine with a Multiple-eigenstates Particle in 1D Potential Box

Abstract

QLE which has the working substance of a quantum system, a single particle confined in a one-dimensional potential box, has been constructed theoretically in this paper. The quantum system replaces the role of the classical system which has a working substance in the form of gas confined in a piston cylinder. The piston that moves back and forth is substituted by a 1D potential box wall that can move freely to change the width of the potential box. In this way, the three classical thermodynamic processes in the CLE (Classical Lenoir Engine), namely isochoric, isotherm, and isobar, can be analogous to the quantum system. Finally, we find that the thermal efficiency formulation of QLE has the similarity of shape to the CLE efficiency equation. However, a higher ratio of specific heat for QLE makes the efficiency value greater than CLE at each same compression ratio.