Infrared spectroscopy of diatomic molecules - a fractional calculus approach
General Physics
2015-03-20 v2
Abstract
The eigenvalue spectrum of the fractional quantum harmonic oscillator is calculated numerically solving the fractional Schr\"odinger equation based on the Riemann and Caputo definition of a fractional derivative. The fractional approach allows a smooth transition between vibrational and rotational type spectra, which is shown to be an appropriate tool to analyze IR spectra of diatomic molecules.
Keywords
Cite
@article{arxiv.1209.1630,
title = {Infrared spectroscopy of diatomic molecules - a fractional calculus approach},
author = {Richard Herrmann},
journal= {arXiv preprint arXiv:1209.1630},
year = {2015}
}
Comments
revised + extended version, 9 pages, 6 figures