NDLI: Exact results for ionization of a model atom

Content Provider	IEEE Xplore Digital Library
Author	Rokhlenko, A. Costin, O. Lebowitz, J.L.
Copyright Year	2001
Description	Author affiliation: Dept. of Math., Rutgers Univ., Piscataway, NJ, USA (Rokhlenko, A.; Costin, O.; Lebowitz, J.L.)
Abstract	We investigate the ionization of a 1-D quantum system with a zero-range attractive potential at x = 0 when it is subjected to a time dependent harmonic zero range potential forcing of frequency /spl omega/, strength r, at position x = a. We show that the ionization probability goes to 1 as time t /spl rarr/ /spl infin/ for almost all values of r, /spl omega/, and a. The initially exponential decay of the probability to stay in the bound state is followed at later time by a t/sup -3/ law if r is small and /spl omega/ is not close to resonances. When this is not true the separation between the exponential and power law decay regimes disappears and Fermi's golden rule fails. There exist exceptional sets of parameters where the survival probability never decays to zero and complete ionization is impossible.
Sponsorship	Plasma Sci. & Appl. Committee Pulsed Power Sci. & Technol. Committee of the IEEE Nucl. & Plasma Sci. Soc
Starting Page	122
Ending Page	125
File Size	505850
Page Count	4
File Format	PDF
ISBN	0780371208
DOI	10.1109/PPPS.2001.1002009
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-06-17
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Ionization Resonance Frequency Electrons Switches Integral equations Mathematics Production Laser modes Laser theory
Content Type	Text
Resource Type	Article

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