Open AccessOn quantum analogue of instable oscillating states of an inverted oscillator in external poly-harmonic field
Author(s) -
V. V. Chistyakov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2103/1/012077
Subject(s) - wave packet , harmonic oscillator , physics , bifurcation , quantum , classical mechanics , field (mathematics) , gaussian , harmonic , schrödinger equation , quantum mechanics , mathematical analysis , mathematics , nonlinear system , pure mathematics
Nonstationary Schroedinger equation (NSE) is solved analytically and numerically to study a phenomenon of dynamical stabilization of the inverted oscillator driven by polyharmonic in time and spatially uniform force with specially chosen phase shifts. It is shown that for Gaussian wave packet asymptotically fitting the initial condition (IC) it occurs temporary delay of the packet center about top of the parabolic potential for about 2 fundamental time periods followed by the center bifurcation.