Bound - states for truncated Coulomb potentials

TL;DR

This paper extends the PSLET method to calculate bound-state energies for truncated Coulomb potentials, showing excellent agreement with numerical results and offering a new approach for such quantum systems.

Contribution

The paper generalizes PSLET to handle states with any number of nodes for truncated Coulomb potentials, providing a more accurate and efficient alternative to existing methods.

Findings

PSLET results match numerical integration closely.

The method effectively handles states with multiple nodal zeros.

Provides a reliable analytical approach for truncated Coulomb potentials.

Abstract

The pseudoperturbative shifted - $l$ expansion technique PSLET is generalized for states with arbitrary number of nodal zeros. Bound- states energy eigenvalues for two truncated coulombic potentials are calculated using PSLET. In contrast with shifted large-N expansion technique, PSLET results compare excellently with those from direct numerical integration.