Enock Oluwole OLADIMEJI
Peoples' Friendship University of Russia
Enock completed his PhD. at Peoples’ Friendship University of Russia, Moscow and his undergraduate studies at Bowen University, Iwo. His research interests lie in the area of Quantum and Statistical Mechanics. He has collaborated actively with researchers in several other disciplines of Physics, particularly in renewable energy. Enock lives in Nigeria where he spend his free time giving public speeches on education young students to embrace science using practical approach to enlighten, educate. He loves football.
Introduction.Following the formulation of Pöschl-Teller [PT] model in our work [1], we continued with its dynamic and thermodynamic description [2,3] which has a relation with two well-known models –i.e., the free particle... [ view full abstract ]
Introduction.
Following the formulation of Pöschl-Teller [PT] model in our work [1], we continued with its dynamic and thermodynamic description [2,3] which has a relation with two well-known models –i.e., the free particle [FP] in the box and the quantum harmonic oscillator [QHO] which are frequently and effectively exploited in modern nanotechnology – e.g., in quantum dots and magnetic traps.
Methods
In this work, dynamic and thermodynamic properties of [PT]-model are explored by constructing a quantum-mechanical analogue of the Joule-Brayton, Otto and Carnot cycles as shown [4]. The derived efficiency is compared to be analogous to those obtained for classical engines.
This construction is based on the formalism of a quantum engine that was proposed [5] for a single particle of mass and confined to an infinite one-dimensional potential well of width
Results
Our results are remarkable, the derived efficiencies of the quantum cycles, are analogous to the well-known efficiencies from classical thermodynamics. Also in comparism to [4] our efficiency is exactly the same when for free particle in the box [2].
Discussion
[1] Rudoy, Yu.G; Oladimeji E . 2017 Pressure Operator for the Pöeschl–Teller Oscillator Rudn J. Math. Inf. Sci. Phys. 25 276–82
[2] Rudoy, Yu.G; Oladimeji E . 2017 About One Interesting and Important Model in Quantum Mechanics I. Dynamic Description Phys. High. Educ. 23 20–33 [Russian]
[3] Rudoy, Yu.G; Oladimeji E . 2017 About One Interesting and Important Model in Quantum Mechanics II. Thermodynamic Description Phys. High. Educ. 23 11–23 [Russian]
[4] Guzmán‐vargas L, Granados V, Mota R D and Guzman-Vargas L 2002 Efficiency of simple quantum engines: The Joule-Brayton and Otto cycles AIP Conf. Proc. 643
[5] Bender C, Brody D and Meisinger P N 2008 Quantum-Mechanical Carnot Engine Quantum 1–10
Quantum dots & quantum wells , Photovoltaics and solar cells at nanoscale
