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 Gaussian single potential triangular potential. It is observed from our that the works for weak coupling preserving symmetric phase portrait. However, dominance of feature in system clearly visible higher values constant associated with mass. Though, both have significant role controlling spectral system, one may dominate over other certain cases.