2000 character limit reached
Energy eigenstates of position-dependent mass particles in a spherical quantum dot (2311.14211v1)
Published 23 Nov 2023 in cond-mat.mes-hall, cond-mat.mtrl-sci, physics.atom-ph, and quant-ph
Abstract: We obtain the exact energy spectrum of nonuniform mass particles for a collection of Hamiltonians in a three-dimensional approach to a quantum dot. By considering a set of generalized Schr\"odinger equations with different orderings between the particle's momentum and mass, the energy bound-states are calculated analytically for hard boundary conditions. The present results are of interest in atomic physics and quantum dot theory.