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Sanin A. L., Smirnovskij 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:


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

Sanin Andrej Leonardovich, St. Peterburg State Polytechnical University
Smirnovskij Aleksandr Andreevich, St. Peterburg State Polytechnical University

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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