ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Sanin A. L., Smirnovsky A. A. Quantum anharmonic oscillator with one-term potential, friction and external force. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 2, pp. 103-115. DOI: 10.18500/0869-6632-2014-22-2-103-115

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
530.145

Quantum anharmonic oscillator with one-term potential, friction and external force

Autors: 
Sanin Andrej Leonardovich, Peter the Great St. Petersburg Polytechnic University
Smirnovsky Aleksandr Andreevich, Peter the Great St. Petersburg Polytechnic University
Abstract: 

In the context of the Schrodinger–Langevin–Kostin equation, the quantum anharmonic oscillator with one-term 4-degree potential has been numerically investigated. The generated frequencies of the oscillator are defined by the non-equidistant energy spectra, the number of  discrete frequencies depends on the initial state energy. Due to increasing of initial state energy,  spectra are displaced in the direction of higher frequencies. Influence of friction on transition from  excited state into ground one is also investigated. Role of friction on the generation of discrete spectral lines is also discussed.

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Received: 
26.03.2014
Accepted: 
24.04.2014
Published: 
31.07.2014
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