{"id":"https://openalex.org/W7213410317","doi":"https://doi.org/10.48550/arxiv.2609.16507","title":"Exact Ionization Amplitudes for a Delta-Function Well in an Arbitrary-Strength DC Electric Field","display_name":"Exact Ionization Amplitudes for a Delta-Function Well in an Arbitrary-Strength DC Electric Field","publication_year":2026,"publication_date":"2026-09-15","ids":{"openalex":"https://openalex.org/W7213410317","doi":"https://doi.org/10.48550/arxiv.2609.16507"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.16507","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.16507","pdf_url":"https://arxiv.org/pdf/2609.16507","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.16507","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038077520","display_name":"Ilki Kim","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I35777872","display_name":"North Carolina Agricultural and Technical State University","ror":"https://ror.org/02aze4h65","country_code":"US","type":"education","lineage":["https://openalex.org/I35777872"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kim, Ilki","raw_affiliation_strings":["Department of Physics , North Carolina A&T State University , Greensboro , NC 27411"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics , North Carolina A&T State University , Greensboro , NC 27411","institution_ids":["https://openalex.org/I35777872"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019972035","display_name":"GERALD J. IAFRATE","orcid":"https://orcid.org/0000-0002-4356-3511","observed_orcids":["https://orcid.org/0000-0002-4356-3511"]},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Iafrate, Gerald J.","raw_affiliation_strings":["Department of Electrical and Computer Engineering , North Carolina State University , Raleigh , NC 27695"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering , North Carolina State University , Raleigh , NC 27695","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10566","display_name":"Laser-Matter Interactions and Applications","score":0.5317000150680542,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10566","display_name":"Laser-Matter Interactions and Applications","score":0.5317000150680542,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10523","display_name":"Atomic and Molecular Physics","score":0.23080000281333923,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.15320000052452087,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/field-ionization","display_name":"field ionization","score":0.9049999713897705},{"id":"https://openalex.org/keywords/volterra-equations","display_name":"Volterra equations","score":0.9020000100135803},{"id":"https://openalex.org/keywords/rescattering","display_name":"rescattering","score":0.4959999918937683}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7067000269889832},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.6305000185966492},{"id":"https://openalex.org/C104416048","wikidata":"https://www.wikidata.org/wiki/Q302518","display_name":"Propagator","level":2,"score":0.6100999712944031},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.53329998254776},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.5256999731063843},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.5218999981880188},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.46970000863075256},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4641999900341034},{"id":"https://openalex.org/C198291218","wikidata":"https://www.wikidata.org/wiki/Q190382","display_name":"Ionization","level":3,"score":0.42590001225471497},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.42260000109672546},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.41830000281333923},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.36320000886917114},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.353300005197525},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3343999981880188},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.32260000705718994},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.3199000060558319},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2833000123500824},{"id":"https://openalex.org/C32921249","wikidata":"https://www.wikidata.org/wiki/Q2001256","display_name":"Impact ionization","level":4,"score":0.2782999873161316},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.26440000534057617},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2597000002861023},{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.2540999948978424}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.16507","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.16507","pdf_url":"https://arxiv.org/pdf/2609.16507","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.16507","doi":"https://doi.org/10.48550/arxiv.2609.16507","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.16507","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.16507","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.16507","pdf_url":"https://arxiv.org/pdf/2609.16507","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213410317.pdf","grobid_xml":"https://content.openalex.org/works/W7213410317.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W1613692580","https://openalex.org/W4415310272"],"related_works":["https://openalex.org/W1613692580","https://openalex.org/W1519087016","https://openalex.org/W2015215779","https://openalex.org/W3098800141","https://openalex.org/W7095894521","https://openalex.org/W2036608464","https://openalex.org/W1972097490","https://openalex.org/W2022571678","https://openalex.org/W2089315098","https://openalex.org/W2793206753"],"abstract_inverted_index":{"We":[0],"investigate":[1],"finite-time":[2],"field-induced":[3],"ionization":[4,192],"from":[5],"a":[6,12,63,77,190],"one-dimensional":[7],"attractive":[8],"delta-function":[9],"well":[10],"in":[11,96,124,200],"uniform":[13],"dc":[14],"electric":[15],"field":[16,49],"of":[17,53,176,189],"arbitrary":[18,148],"strength.":[19],"Our":[20],"aim":[21],"is":[22,122,164],"to":[23,62],"determine":[24],"the":[25,37,44,48,54,58,71,87,102,128,132,167,177],"physical":[26,179],"bound-state":[27,89],"survival":[28],"amplitude":[29,90],"\\(a_b(t)\\)":[30],"at":[31,147],"any":[32],"observation":[33],"time":[34,142],"without":[35],"constructing":[36],"complete":[38],"time-dependent":[39],"propagator":[40],"or":[41,160],"wavefunction.":[42],"In":[43],"gauge-equivalent":[45],"Kramers--Henneberger":[46],"representation,":[47],"appears":[50],"as":[51,139],"motion":[52],"contact":[55,104],"point,":[56],"and":[57,81,91,98,134,151,171,194],"resulting":[59],"dynamics":[60],"reduces":[61],"closed":[64,125],"Volterra":[65,180],"equation.":[66,181],"Exact":[67],"endpoint-phase":[68],"factorization":[69],"organizes":[70],"full":[72],"chronological":[73],"rescattering":[74,158],"history":[75],"into":[76],"relative-time":[78],"convolution":[79],"hierarchy":[80],"an":[82,107,172,185],"exact":[83,168,186],"resolvent.":[84],"By":[85],"introducing":[86],"accumulated":[88],"reorganizing":[92],"its":[93],"two-time":[94],"domain":[95],"relative":[97],"complementary":[99],"center":[100],"times,":[101],"final":[103],"contribution":[105],"becomes":[106],"explicit":[108],"boundary":[109],"integral.":[110],"All":[111],"spatial":[112],"integrations":[113],"are":[114,137],"carried":[115],"out":[116],"analytically.":[117],"The":[118,144,182],"field-driven":[119],"contact-free":[120],"term":[121],"obtained":[123],"form":[126],"using":[127],"Faddeeva":[129],"function,":[130],"while":[131],"direct":[133],"repeated-rescattering":[135],"terms":[136],"expressed":[138],"explicitly":[140],"evaluable":[141],"integrals.":[143],"result":[145],"applies":[146],"dc-field":[149],"strength":[150],"finite":[152],"time,":[153],"with":[154],"no":[155],"weak-field":[156],"expansion,":[157],"truncation,":[159],"asymptotic-time":[161],"approximation.":[162],"It":[163],"verified":[165],"through":[166],"field-free":[169],"limit":[170],"independent":[173],"numerical":[174],"solution":[175,188],"original":[178],"formulation":[183],"gives":[184],"nonperturbative":[187],"fundamental":[191],"model":[193],"reveals":[195],"otherwise":[196],"hidden":[197],"analytical":[198],"structure":[199],"driven":[201],"quantum":[202],"dynamics.":[203]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-17T00:00:00"}