Infrared spectroscopy of diatomic molecules - a fractional calculus approach

Richard Herrmann

doi:10.1142/s0217979213500197

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arXiv · 1209.1630

Infrared spectroscopy of diatomic molecules - a fractional calculus approach

Richard Herrmann

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Abstract

The eigenvalue spectrum of the fractional quantum harmonic oscillator is calculated numerically solving the fractional Schrödinger 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.

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Richard Herrmann. 2012-12-12. Infrared spectroscopy of diatomic molecules - a fractional calculus approach. https://doi.org/10.1142/s0217979213500197

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