Energy eigenstates of position-dependent mass particles in a spherical quantum dot

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 Schrödinger 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.

13 pages, 10 figures

References in corpus (3)

• Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
• $\kappa$-Deformed quantum and classical mechanics for a system with position-dependent effective mass
• The kinetic Hamiltonian with position-dependent mass

Cited by in corpus (4)

• Three-dimensional bound states of cylindrical quantum heterostructures with position-dependent mass carriers
• Effective particles in a multishell nanostructure with hardcore
• Impact of the non-canonical approach to the exact solution of the ideal one-dimensional electron gas confined with an anisotropic quantum wire of oscillator-shaped profile
• Electronic states in a bilayer graphene quantum ripple