Part of the D - dimensional Spiked harmonic oscillator spectra

TL;DR

This paper extends the PSLET method to analyze bound states of D-dimensional spiked harmonic oscillators, leveraging interdimensional degeneracies, and demonstrates high accuracy compared to numerical and variational approaches.

Contribution

The paper generalizes the PSLET technique for arbitrary nodal states in D-dimensional systems and utilizes interdimensional degeneracies to construct bound states.

Findings

PSLET results match well with numerical integration

Method effectively handles states with arbitrary nodal zeros

Demonstrates high accuracy of the generalized technique

Abstract

The pseudoperturbative shifted - l expansion technique PSLET [5,20] is generalized for states with arbitrary number of nodal zeros. Interdimensional degeneracies, emerging from the isomorphism between angular momentum and dimensionality of the central force Schrodinger equation, are used to construct part of the D - dimensional spiked harmonic oscillator bound - states. PSLET results are found to compare excellenly with those from direct numerical integration and generalized variational methods [1,2].