An Asymmetric Model Position Dependent Mass: Quantum Mechanical Study

Abstract

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.

Energy spectrum and zero-temperature magnetic functions of a position-dependent mass system in a Pöschl-Teller-type potential constrained by a vector magnetic potential field

“…The solution of the PDMSE has been instrumental in understanding the structural, electronic, optical, and absorption properties of semiconductors [2][3][4][5][6][7]. In a very recent advancement, Rath and collaborators proposed a new position-dependent mass system suitable for applications in semiconductor physics [8]. The concept of position-dependent mass (PDM) has also been used to investigate quantum dots, quantum wires and quantum wells [9][10][11].…”