Bound states for spiked harmonic oscillators and truncated Coulomb potentials

TL;DR

This paper introduces a new analytical method for solving the Schrödinger equation for complex potentials, successfully applied to spiked harmonic oscillators and truncated Coulomb potentials, with potential applications in atomic, molecular, and nuclear physics.

Contribution

The paper presents a novel analytical approach for nonexactly solvable Schrödinger equations, extending solution techniques to complex potential systems.

Findings

Method successfully applied to spiked harmonic oscillators

Method successfully applied to truncated Coulomb potentials

Potential extension to other atomic, molecular, and nuclear systems

Abstract

We propose a new analytical method to solve for the nonexactly solvable Schrodinger equation. Successfully, it is applied to a class of spiked harmonic oscillators and truncated Coulomb potentials. The utility of this method could be extended to study other systems of atomic, molecular and nuclear physics interest.