An Asymmetric Model Position Dependent Mass: Quantum Mechanical Study

We propose an asymmetric model position dependent mass and study its quantum mechanical behaviour on different potentials such as harmonic oscillator potential, double well potential, Gaussian single well potential and triangular single well model potential. It is observed from our study that the mo...

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Bibliographic Details
Published in:Axioms 2023-04, Vol.12 (4), p.318
Main Authors: Rath, Biswanath, Mallick, Pravanjan, Asad, Jihad, Wannan, Rania, Jarrar, Rabab, Shanak, Hussein
Format: Article
Language:English
Subjects:
Asymmetry
Eigenvalues
Energy
Harmonic oscillators
Mathematical research
Mechanical properties
PDM
phase portrait
Physics
Potential energy
Quantum dots
Quantum mechanics
quantum study
Quantum theory
real spectra
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Summary:We propose an asymmetric model position dependent mass and study its quantum mechanical behaviour on different potentials such as harmonic oscillator potential, double well potential, Gaussian single well potential and triangular single well model potential. It is observed from our study that the model asymmetric mass works well for weak coupling preserving the symmetric phase portrait. However, the dominance of asymmetric feature of the mass in the system clearly visible for higher values of the constant associated with the mass. Though, both position dependent mass and potential have significant role in controlling the spectral feature of the system, one may dominate over other for certain cases.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12040318