title: Optimization of a relativistic quantum mechanical engine.
abstract: We present an optimal analysis for a quantum mechanical engine working between two energy baths within the framework of relativistic quantum mechanics, adopting a first-order correction. This quantum mechanical engine, with the direct energy leakage between the energy baths, consists of two adiabatic and two isoenergetic processes and uses a three-level system of two noninteracting fermions as its working substance. Assuming that the potential wall moves at a finite speed, we derive the expression of power output and, in particular, reproduce the expression for the efficiency at maximum power.
authors.affiliation: Instituto de Física, Pontificia Universidad Católica de Valparaíso, Av. Brasil 2950, Valparaíso, Chile.
authors.forename: Francisco J
authors.initials: FJ
authors.lastname: Peña
authors.affiliation: Instituto de Física, Pontificia Universidad Católica de Valparaíso, Av. Brasil 2950, Valparaíso, Chile.
authors.forename: Michel
authors.initials: M
authors.lastname: Ferré
authors.affiliation: Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110 V, Valparaíso, Chile.
authors.forename: P A
authors.initials: PA
authors.lastname: Orellana
authors.affiliation: Instituto de Física, Pontificia Universidad Católica de Valparaíso, Av. Brasil 2950, Valparaíso, Chile.
authors.forename: René G
authors.initials: RG
authors.lastname: Rojas
authors.affiliation: Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110 V,CEDENNA, Valparaíso, Chile.
authors.forename: P
authors.initials: P
authors.lastname: Vargas