University of Illinois Urbana-Champaign

Chaos effects in one-dimensional hydrogen, including the high frequency regime

Humm, David Carl

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https://hdl.handle.net/2142/23869

Description

Title
Chaos effects in one-dimensional hydrogen, including the high frequency regime
Author(s)
Humm, David Carl
Issue Date
1991
Doctoral Committee Chair(s)
Nayfeh, Munir H.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • chaos effects
  • one-dimensional hydrogen
  • high frequency regime
  • resonance overlap
Language
en
Abstract
The system of highly excited hydrogen in combined strong ac and de electric fields is examined. It is shown that the production and maintainence of effectively one-dimensional states is plausible in this system. The threshold of global classical chaos is calculated using the resonance overlap method. In the microwave regime, the ionization by chaos is compared with the ionization by tunneling in the de field, showing the limits on the de field in order for chaotic effects to be detectable in experiments. The investigation of a new regime of infrared, visible, and ultraviolet ac fields is proposed and pursued. The theory of quantum localization of classical chaos is motivated, and it is shown to come strongly into play in the proposed regime. A criterion for the appearance of spectral effects due to chaos, based on the localization theory, is proposed and calculated. It is demonstrated that chaos effects should be visible even in the presence of single-photon ionization.
Type of Resource
text
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http://hdl.handle.net/2142/23869
Copyright and License Information
1991 David Carl Humm

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