Author(s)

M. Vubangsi^1,2*, F. B. Migueu², B. F. Kamsu², L. S. Yonya Tchapda², M. Tchoffo^2,3, L. C. Fai²

¹Computational Material Science Lab, Department of Computer Science, HTTTC Bambili, University of Bamenda, Bambili, Cameroon.
²Unité de Recherche de Matière Condensée, d’électronique et de Traitement du Signal, Département de Physique, Faculté des Sciences, Université de Dschang, Dschang, Cameroon.
³Centre d’études et de Recherches en Agronomie et en Biodiversité, FASA, Université de Dschang, Cameroon.

Using a model anharmonic oscillator with asymptotically decreasing effective mass to study the effect of compositional grading on the quantum mechanical properties of a semiconductor heterostructure, we determine the exact bound states and spectral values of the system. Furthermore, we show that ordering ambiguity only brings about a spectral shift on the quantum anharmonic oscillator with spatially varying effective mass. A study of thermodynamic properties of the system reveals a resonance condition dependent on the magnitude of the anharmonicity parameter. This resonance condition is seen to set a critical value on the said parameter beyond which a complex valued entropy which is discussed, emerges.

Ordering Ambiguity, Anharmonicity Parameter, Variable Mass, Anharmonic Oscillator, Thermodynamic Resonance, Complex Entropy, Quantum Harmonic Oscillator

Vubangsi, M. , Migueu, F. , Kamsu, B. , Tchapda, L. , Tchoffo, M. and Fai, L. (2021) A Model Effective Mass Quantum Anharmonic Oscillator and Its Thermodynamic Characterization. Journal of Applied Mathematics and Physics, 9, 306-316. doi: 10.4236/jamp.2021.92022.