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JOURNALS // Izvestiya VUZ. Applied Nonlinear Dynamics // Archive

Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, Volume 22, Issue 2, Pages 103–115 (Mi ivp233)

APPLIED PROBLEMS OF NONLINEAR OSCILLATION AND WAVE THEORY

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

A. L. Sanina, A. A. Smirnovskyb

a Saint-Petersburg State Polytechnical University
b Ioffe Institute, St. Petersburg

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.

Keywords: Quantum quartic oscillator, Schroedinger-Langevin-Kostin equation, free and driving oscillations, friction.

UDC: 530.145

Received: 24.04.2014



© Steklov Math. Inst. of RAS, 2024