  In this work, the quantum-mechanical properties of the strongly non-linear
quantum oscillator described by the Poschl-Teller PT model is examined. This
model has a relation with two well-known models, the free particle FP in a box
and the harmonic oscillator HO, as described in our previous works. Using the
PT model, a quantum-mechanical analog of the Joule-Brayton JB cycle and Otto
cycle have been constructed through changes of both, the width of the well and
its the quantum state. The efficiency of quantum engines based on the
Poschl-Teller-like potential is derived, which is analogous to classical
thermodynamic engine
