The rotating harmonic oscillator revisited
Quantum Physics
2020-10-06 v2
Abstract
We analyze the distribution of the eigenvalues of the quantum-mechanical rotating harmonic oscillator by means of the Frobenius method. A suitable ansatz leads to a three-term recurrence relation for the expansion coefficients. Truncation of the series yields some particular eigenvalues and eigenfunctions in exact analytical form. The former can be organized in such a way that one obtains suitable information about the whole spectrum of the model.
Cite
@article{arxiv.2007.11695,
title = {The rotating harmonic oscillator revisited},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:2007.11695},
year = {2020}
}