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JOURNALS // Optics and Spectroscopy // Archive

Optics and Spectroscopy, 2022 Volume 130, Issue 3, Pages 414–416 (Mi os1691)

This article is cited in 3 papers

Extremely strong fields and ultrashort optical pulses

Excitation and ionization of a particle in a one-dimensional potential well of zero radius by an extremely short light pulse

R. M. Arkhipovab, M. V. Arkhipova, A. V. Pakhomova, N. N. Rosanovab

a Saint Petersburg State University, 199034 St. Petersburg, Russia
b Ioffe Institute, 194021 St. Petersburg, Russia

Abstract: The Migdal sudden perturbation approximation is used to solve the problem of excitation and ionization particles in a one-dimensional potential of zero radius with an extremely short pulse. There is only one energy level in such a one-dimensional the delta-shaped potential well. It is shown that for pulse durations shorter than the characteristic period of oscillations of the wave function of the particle in the bound state, the population of the level (and the probability of ionization) is determined by the ratio of the electric area of the pulse to the characteristic “scale” of the area inversely proportional to the size of localization of the particle in a bound state.

Keywords: unipolar pulses, electrical pulse area, atomic scale of electric area.

Received: 24.11.2021
Revised: 24.11.2021
Accepted: 03.12.2021

DOI: 10.21883/OS.2022.03.52171.2959-21



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© Steklov Math. Inst. of RAS, 2026