Related papers: Quantum states of the Kapitza pendulum

Quantum states of the Kapitza pendulum

URL: http://arxiv.org/abs/2102.12711v1
Date: Thu, 25 Feb 2021 07:22:13 GMT
Title: Quantum states of the Kapitza pendulum
Authors: P.A. Golovinski, V.A. Dubinkin
Abstract summary: The quantum states of the Kapitza pendulum are described within the effective potential obtained by averaging over the fast oscillations. An estimate of the energy spectrum stabilized of states is given using approximate model potential.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The quantum states of the Kapitza pendulum are described within the effective potential obtained by the method of averaging over the fast oscillations. An analytical estimate of the energy spectrum of stabilized states is given using approximate model potential. For the lowest states of an inverted pendulum, the spectrum is repeduced by the energies of a harmonic oscillator with perturbation theory corrections. Tunneling effect contribution to the energies of resonance states in the double-well effective potential is estimated. The results of numerical simulations of vibrational and rotational spectra of the Kapitza pendulum by the semiclassical method and by the Numerov algorithm are compared.

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