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

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• Humm, David Carl

Contributors dc:contributor

• Nayfeh, Munir H.

• chaos effects
• one-dimensional hydrogen
• high frequency regime
• resonance overlap

Statement dc:rights

• 1991 David Carl Humm

Language dc:language

en

Identifier

3480194

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/23869