A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario
R. A. C. Correa, A. de Souza Dutra, J. A. de Oliveira, M. G. Garcia
TL;DR
This paper derives exact wavefunctions and energy eigenvalues for a two-dimensional position-dependent mass system with a Morse-like potential, providing a comprehensive set of solutions for this quantum scenario.
Contribution
It presents a complete set of eigenstates and energies for a 2D position-dependent mass system with a Morse-like potential, which was not previously available.
Findings
Exact wavefunctions and energies obtained
Complete set of eigenstates derived
Applicable to systems with position-dependent mass
Abstract
In this work we analyze a system consisting in two-dimensional position-dependent massive particles in the presence of a Morse-like potential in two spatial dimensions. We obtain the exact wavefunctions and energies for a complete set of eigenstates for a given dependence of the mass with the spatial variables.
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