TITLE:
A Model Effective Mass Quantum Anharmonic Oscillator and Its Thermodynamic Characterization
AUTHORS:
M. Vubangsi, F. B. Migueu, B. F. Kamsu, L. S. Yonya Tchapda, M. Tchoffo, L. C. Fai
KEYWORDS:
Ordering Ambiguity, Anharmonicity Parameter, Variable Mass, Anharmonic Oscillator, Thermodynamic Resonance, Complex Entropy, Quantum Harmonic Oscillator
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.2,
February
25,
2021
ABSTRACT: 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.