Infrared spectroscopy of diatomic molecules - a fractional calculus approach

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.

revised + extended version, 9 pages, 6 figures

References in corpus (8)

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• The fractional symmetric rigid rotor
• Common aspects of q-deformed Lie algebras and fractional calculus
• q-deformed Lie algebras and fractional calculus
• Fractional dynamic symmetries and the ground state properties of nuclei
• Weyl Quantization of Fractional Derivatives
• Topological symmetry breaking of self--interacting fractional Klein--Gordon field on toroidal spacetime
• Fractional phase transition in medium size metal clusters and some remarks on magic numbers in gravitationally and weakly interacting clusters