Effective Mass Quantum Systems with Displacement Operator: Inverse Square plus Coulomb-like Potential

Abstract

The Schrödinger-like equation written in terms of the displacement operator is solved analytically for a inverse square plus Coulomb-like potential. Starting from the new Hamiltonian, the effects of the spatially dependent mass on the bound states and normalized wave functions of the "usual" inverse square plus Coulomb interaction are discussed.

10 pages, 1 figure

References in corpus (3)

• Displacement operator for quantum systems with position-dependent mass
• Morse potential derived from first principles
• Revisiting the displacement operator for quantum systems with position-dependent mass

Cited by in corpus (3)

• A position-dependent mass harmonic oscillator and deformed space
• $\kappa$-Deformed quantum and classical mechanics for a system with position-dependent effective mass
• Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass