{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23869"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23869","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 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.","abstract_html":"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.","abstract_has_math":false,"creators":["Humm, David Carl"],"institution":null,"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":"2011-05-11T19:45:21Z","date_published":"2011-05-11T19:45:21Z","updated_at":"2026-07-22T22:25:22Z","subjects":["chaos effects","one-dimensional hydrogen","high frequency regime","resonance overlap"],"languages":["en"],"rights":["1991 David Carl Humm"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["3480194"],"render_values":[{"text":"3480194","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23869","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":["2011-05-11T19:45:21Z","10000-01-01","1991"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","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."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["chaos effects","one-dimensional hydrogen","high frequency regime","resonance overlap"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1991 David Carl Humm"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["3480194","http://hdl.handle.net/2142/23869"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-11T19:45:21Z No. of bitstreams: 1 1991_Humm.pdf: 1305289 bytes, checksum: 4f7f6e9e15af2716b5843619a39b6c07 (MD5)","Made available in DSpace on 2011-05-11T19:45:21Z (GMT). No. of bitstreams: 1 1991_Humm.pdf: 1305289 bytes, checksum: 4f7f6e9e15af2716b5843619a39b6c07 (MD5) Previous issue date: 1991","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-11T19:45:21Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:13:08-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Chaos effects in one-dimensional hydrogen, including the high frequency regime"]}]}],"canonical_facts":{"dc:contributor":["Nayfeh, Munir H."],"dc:creator":["Humm, David Carl"],"dc:date":["2011-05-11T19:45:21Z","10000-01-01","1991"],"dc:description":["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.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-11T19:45:21Z No. of bitstreams: 1 1991_Humm.pdf: 1305289 bytes, checksum: 4f7f6e9e15af2716b5843619a39b6c07 (MD5)","Made available in DSpace on 2011-05-11T19:45:21Z (GMT). No. of bitstreams: 1 1991_Humm.pdf: 1305289 bytes, checksum: 4f7f6e9e15af2716b5843619a39b6c07 (MD5) Previous issue date: 1991","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-11T19:45:21Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:13:08-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["3480194","http://hdl.handle.net/2142/23869"],"dc:language":["en"],"dc:rights":["1991 David Carl Humm"],"dc:subject":["chaos effects","one-dimensional hydrogen","high frequency regime","resonance overlap"],"dc:title":["Chaos effects in one-dimensional hydrogen, including the high frequency regime"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:22Z"}