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Chargui, Y., Dhahbi, A. and Trabelsi, A. (2019) A Novel Approach for Constructing Kinetic Energy Operators with Position Dependent Mass. Results in Physics, 13, Article ID: 102329.
https://doi.org/10.1016/j.rinp.2019.102329

has been cited by the following article:

• 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.