Mater.Phys.Mech.(MPM)
No 2, Vol. 20, 2014, pages 92-97

QUANTUM QUARTIC OSCILLATORS WITH TWO COUPLED DEGREES OF
FREEDOM

Andrey L. Sanin, Eugeniy A. Semyonov

Abstract

The numerical integration of the non-stationary two-dimensional Schrödinger equation is carried out. The dynamical properties (dynamical averages, frequency spectra, uncertainty relations, autocorrelators) for two quantum oscillators coupled by the Pallen- Edmonds potential are studied. As a result of the numerical simulations, it was established that the quantum system is sensitive to small changes in Hamiltonian that are caused by the Pallen-Edmonds coupling potential. In the regime of weak coupling high-frequency oscillations are generated, the spectral component number is increased at amplification of coupling.

Keywords: non-stationary two-dimensional Schrödinger equation; quantum oscillator; Pallen-Edmonds potential

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