The rotating harmonic oscillator revisited
- URL: http://arxiv.org/abs/2007.11695v2
- Date: Mon, 5 Oct 2020 14:32:03 GMT
- Title: The rotating harmonic oscillator revisited
- Authors: Francisco M. Fern\'andez
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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