{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/19818"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/19818","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Chaos effects in one-dimensional hydrogen, including the high-frequency regime","abstract":"The system of highly excited hydrogen in combined strong ac and dc 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 dc field, showing the limits on the dc 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.","abstract_html":"The system of highly excited hydrogen in combined strong ac and dc 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 dc field, showing the limits on the dc 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.","abstract_has_math":false,"creators":["Humm, David Carl"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Nayfeh, Munir H."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:19:34Z","date_published":"2011-05-07T12:19:34Z","updated_at":"2026-07-22T22:25:14Z","subjects":["Physics, Radiation","Physics, Atomic"],"languages":["eng"],"rights":["Copyright 1991 Humm, David Carl"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9124427","(UMI)AAI9124427"],"render_values":[{"text":"AAI9124427","href":null,"code":true},{"text":"(UMI)AAI9124427","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/19818","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Nayfeh, Munir H."]},{"key":"dc:creator","label":"Author","values":["Humm, David Carl"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:19:34Z","10000-01-01","1991"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Radiation","Physics, Atomic"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1991 Humm, David Carl"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9124427","(UMI)AAI9124427","http://hdl.handle.net/2142/19818"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The system of highly excited hydrogen in combined strong ac and dc 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 dc field, showing the limits on the dc 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.","Made available in DSpace on 2011-05-07T12:19:34Z (GMT). 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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 dc field, showing the limits on the dc 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.","Made available in DSpace on 2011-05-07T12:19:34Z (GMT). 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