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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