Jafarov, E.I., Nagiyev, S.M., Oste, R. and Van der Jeugt, J. (2020) Exact Solution of the Position-Dependent Effective Mass and Angular Frequency Schrödinger Equation: Harmonic Oscillator Model with Quantized Confinement Parameter. Journal of Physics A: Mathematical and Theoretical, 53, Article ID: 485301.
https://doi.org/10.1088/1751-8121/abbd1a

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.