INFRARED SPECTROSCOPY OF DIATOMIC MOLECULES - A FRACTIONAL CALCULUS APPROACH

被引：14
|
作者：
Herrmann, Richard
机构：
[1] Berliner Ring 80
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2013年 / 27卷 / 06期
关键词：
Fractals and nonlinear dynamics; rotation; vibration and vibration-rotation constants; infrared spectra; alternative approaches; Lie groups; harmonic oscillators; quantum systems with finite Hilbert space;
D O I：
10.1142/S0217979213500197
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The eigenvalue spectrum of the fractional quantum harmonic oscillator is calculated numerically, solving the fractional Schrodinger 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.
引用
收藏
页数：17
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