d-dimensional Position Dependent Mass, Quasi-Free Quantum Particle

ABSTRACT: This thesis deals with the applications of PDM in one and d-dimensions. In the one-dimensional case the classical as well as the quantum mechanical approach are discussed, and the position dependent mass formalism in one dimension is applied to harmonic oscillator and the quasi free particle case, i.e. where ( ⃗) . Furthermore, the extension to d-dimensions is given and applied to the d-dimensional Harmonic Oscillator and the d-dimensional Coulomb Potential. Keywords: d-dimensional, position dependent mass (PDM), constant mass (CM), point canonical transformation (PCT), quasi-free particle, harmonic oscillator, Pöschl-Teller potential. …………………………………………………………………………………………………………………………