QUANTUM ANHARMONIC OSCILLATOR WITH ONE-TERM POTENTIAL, FRICTION AND EXTERNAL FORCE
Cite this article as:
Sanin А. L., Smirnovsky А. А. 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: https://doi.org/10.18500/0869-6632-2014-22-2-103-115
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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BibTeX
author = {А. L. Sanin and А. А. Smirnovsky },
title = {QUANTUM ANHARMONIC OSCILLATOR WITH ONE-TERM POTENTIAL, FRICTION AND EXTERNAL FORCE},
year = {2014},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {22},number = {2},
url = {https://old-andjournal.sgu.ru/en/articles/quantum-anharmonic-oscillator-with-one-term-potential-friction-and-external-force},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2014-22-2-103-115},pages = {103--115},issn = {0869-6632},
keywords = {Quantum quartic oscillator,Schroedinger–Langevin–Kostin equation,free and driving oscillations,friction.},
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. }}