{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-1221"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-1221","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"An analytical approach to quantum mechanical tunneling time in electronic devices","abstract":"Starting from the analytical solution to the Time-Independent Schrodinger Equation, and exploiting the analogy between the transmission line equations and the time-independent Schrodinger wave equation, an analytical expression for the Average Particle Traversal (APT) time, {dollar}\\tau\\sb{\\rm APT},{dollar} through a rectangular potential barrier region, under no bias, is derived, in terms of the barrier width, potential, and the incident energy of the electron. This approach is extended to derive an analytical expression for the APT time through a resonant tunneling structure, two symmetrical rectangular potential barriers sandwiching a potential well, under no bias. The results of the single potential barrier traversal time are compared with that of other approaches. The APT time is inversely proportional to the transmission coefficient, and satisfies physically intuitive energy limits. For the resonant tunneling structure, the APT time is minimum at resonant energies, and the {dollar}\\tau\\sb{\\rm APT}{dollar} is inversely proportional to the transmission coefficient. The maximum frequency of oscillation is estimated and compared for some of the experimentally studied resonant tunneling structures based on the APT time. The agreement is excellent.","abstract_html":"Starting from the analytical solution to the Time-Independent Schrodinger Equation, and exploiting the analogy between the transmission line equations and the time-independent Schrodinger wave equation, an analytical expression for the Average Particle Traversal (APT) time, {dollar}\\tau\\sb{\\rm APT},{dollar} through a rectangular potential barrier region, under no bias, is derived, in terms of the barrier width, potential, and the incident energy of the electron. This approach is extended to derive an analytical expression for the APT time through a resonant tunneling structure, two symmetrical rectangular potential barriers sandwiching a potential well, under no bias. The results of the single potential barrier traversal time are compared with that of other approaches. The APT time is inversely proportional to the transmission coefficient, and satisfies physically intuitive energy limits. For the resonant tunneling structure, the APT time is minimum at resonant energies, and the {dollar}\\tau\\sb{\\rm APT}{dollar} is inversely proportional to the transmission coefficient. The maximum frequency of oscillation is estimated and compared for some of the experimentally studied resonant tunneling structures based on the APT time. The agreement is excellent.","abstract_has_math":false,"creators":["Thanikasalam, Prabhaharan"],"institution":"University of Nevada, Las Vegas","degree_name":"Master of Science (MS)","degree_level":"Thesis","degree_discipline":"Electrical and Computer Engineering","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1991,"date_issued":"1991-01-01T08:00:00Z","date_published":"1991-01-01T08:00:00Z","updated_at":"2026-07-24T05:24:15Z","subjects":[],"languages":["English"],"rights":["IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["https://oasis.library.unlv.edu/rtds/222"],"render_values":[{"text":"https://oasis.library.unlv.edu/rtds/222","href":"https://oasis.library.unlv.edu/rtds/222","code":true}]}]},"links":{"outbound_url":"https://doi.org/10.25669/0zir-r6uz","outbound_label":"DOI","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Thanikasalam, Prabhaharan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["University of Nevada, Las Vegas"]},{"key":"dc:type","label":"Dc Type","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical and Computer Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (MS)"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:rights","label":"Dc Rights","values":["IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.25669/0zir-r6uz","https://oasis.library.unlv.edu/rtds/222","https://oasis.library.unlv.edu/context/rtds/article/1221/viewcontent/uc.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Starting from the analytical solution to the Time-Independent Schrodinger Equation, and exploiting the analogy between the transmission line equations and the time-independent Schrodinger wave equation, an analytical expression for the Average Particle Traversal (APT) time, {dollar}\\tau\\sb{\\rm APT},{dollar} through a rectangular potential barrier region, under no bias, is derived, in terms of the barrier width, potential, and the incident energy of the electron. This approach is extended to derive an analytical expression for the APT time through a resonant tunneling structure, two symmetrical rectangular potential barriers sandwiching a potential well, under no bias. The results of the single potential barrier traversal time are compared with that of other approaches. The APT time is inversely proportional to the transmission coefficient, and satisfies physically intuitive energy limits. For the resonant tunneling structure, the APT time is minimum at resonant energies, and the {dollar}\\tau\\sb{\\rm APT}{dollar} is inversely proportional to the transmission coefficient. The maximum frequency of oscillation is estimated and compared for some of the experimentally studied resonant tunneling structures based on the APT time. The agreement is excellent."]},{"key":"dc:format","label":"Dc Format","values":["pdf"]},{"key":"dc:title","label":"Title","values":["An analytical approach to quantum mechanical tunneling time in electronic devices"]}]}],"canonical_facts":{"dc:creator":["Thanikasalam, Prabhaharan"],"dc:description.abstract":["Starting from the analytical solution to the Time-Independent Schrodinger Equation, and exploiting the analogy between the transmission line equations and the time-independent Schrodinger wave equation, an analytical expression for the Average Particle Traversal (APT) time, {dollar}\\tau\\sb{\\rm APT},{dollar} through a rectangular potential barrier region, under no bias, is derived, in terms of the barrier width, potential, and the incident energy of the electron. This approach is extended to derive an analytical expression for the APT time through a resonant tunneling structure, two symmetrical rectangular potential barriers sandwiching a potential well, under no bias. The results of the single potential barrier traversal time are compared with that of other approaches. The APT time is inversely proportional to the transmission coefficient, and satisfies physically intuitive energy limits. For the resonant tunneling structure, the APT time is minimum at resonant energies, and the {dollar}\\tau\\sb{\\rm APT}{dollar} is inversely proportional to the transmission coefficient. The maximum frequency of oscillation is estimated and compared for some of the experimentally studied resonant tunneling structures based on the APT time. The agreement is excellent."],"dc:format":["pdf"],"dc:identifier":["10.25669/0zir-r6uz","https://oasis.library.unlv.edu/rtds/222","https://oasis.library.unlv.edu/context/rtds/article/1221/viewcontent/uc.pdf"],"dc:language":["English"],"dc:publisher":["University of Nevada, Las Vegas"],"dc:rights":["IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["An analytical approach to quantum mechanical tunneling time in electronic devices"],"dc:type":["Text"],"thesis:degree_discipline":["Electrical and Computer Engineering"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Master of Science (MS)"]},"updated_at":"2026-07-24T05:24:15Z"}