{"id":"https://openalex.org/W2904787417","doi":"https://doi.org/10.3233/asy-181485","title":"Interacting double-state scattering system","display_name":"Interacting double-state scattering system","publication_year":2018,"publication_date":"2018-12-10","ids":{"openalex":"https://openalex.org/W2904787417","doi":"https://doi.org/10.3233/asy-181485","mag":"2904787417"},"language":"en","primary_location":{"id":"doi:10.3233/asy-181485","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-181485","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085606821","display_name":"Boulbeba Abdelmoumen","orcid":null},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Boulbeba Abdelmoumen","raw_affiliation_strings":["Sfax University","Sfax University, Tunisia"],"affiliations":[{"raw_affiliation_string":"Sfax University","institution_ids":["https://openalex.org/I142899784"]},{"raw_affiliation_string":"Sfax University, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077406557","display_name":"Hamadi Baklouti","orcid":"https://orcid.org/0000-0002-8557-1229"},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Hamadi Baklouti","raw_affiliation_strings":["Sfax University","Sfax University, Tunisia"],"affiliations":[{"raw_affiliation_string":"Sfax University","institution_ids":["https://openalex.org/I142899784"]},{"raw_affiliation_string":"Sfax University, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062805211","display_name":"Slaheddine Ben Abdeljeilil","orcid":null},"institutions":[{"id":"https://openalex.org/I4210124777","display_name":"Univar (United States)","ror":"https://ror.org/027bhx472","country_code":"US","type":"company","lineage":["https://openalex.org/I4210124777"]},{"id":"https://openalex.org/I63596082","display_name":"Tunis El Manar University","ror":"https://ror.org/029cgt552","country_code":"TN","type":"education","lineage":["https://openalex.org/I63596082"]}],"countries":["TN","US"],"is_corresponding":false,"raw_author_name":"Slaheddine Ben Abdeljeilil","raw_affiliation_strings":["ElManar University","ElManar University, Tunisia"],"affiliations":[{"raw_affiliation_string":"ElManar University","institution_ids":["https://openalex.org/I4210124777"]},{"raw_affiliation_string":"ElManar University, Tunisia","institution_ids":["https://openalex.org/I63596082"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077406557"],"corresponding_institution_ids":["https://openalex.org/I142899784"],"apc_list":null,"apc_paid":null,"fwci":0.1599,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55866493,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"111","issue":"1","first_page":"15","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11414","display_name":"Quantum optics and atomic interactions","score":0.9975000023841858,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.9975000023841858,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9896000027656555,"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/T11996","display_name":"Random lasers and scattering media","score":0.9829999804496765,"subfield":{"id":"https://openalex.org/subfields/3102","display_name":"Acoustics and Ultrasonics"},"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/scattering","display_name":"Scattering","score":0.5804516673088074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5577467083930969},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5451317429542542},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3271493911743164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19821584224700928},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1835882067680359},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.040418148040771484}],"concepts":[{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5804516673088074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5577467083930969},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5451317429542542},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3271493911743164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19821584224700928},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1835882067680359},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.040418148040771484}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-181485","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-181485","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1172827566","https://openalex.org/W1762060822","https://openalex.org/W1861681506","https://openalex.org/W1916391792","https://openalex.org/W1964062536","https://openalex.org/W1967385492","https://openalex.org/W2057817591","https://openalex.org/W2075704927","https://openalex.org/W2124641024","https://openalex.org/W2256908103","https://openalex.org/W2963224374","https://openalex.org/W2963575582","https://openalex.org/W3102357175","https://openalex.org/W3106740234"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2026465491","https://openalex.org/W2076453687","https://openalex.org/W1985418025","https://openalex.org/W2001266984","https://openalex.org/W2050136583"],"abstract_inverted_index":{"In":[0,183],"this":[1],"paper,":[2],"we":[3],"describe":[4],"the":[5,9,15,170,173,180,191,194,207],"asymptotic":[6],"behavior":[7],"of":[8,176,197],"scattering":[10],"matrix":[11,23],"S":[12,198],"associated":[13],"with":[14,204],"<mml:math":[16,26,124],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[17,27,125],"overflow=\"scroll\">":[18,28,126],"<mml:mn>2</mml:mn>":[19,21,39,52,65,77,133,153],"<mml:mo>\u00d7</mml:mo>":[20],"</mml:math>":[22,122,166],"Schr\u00f6dinger":[24],"operator":[25],"<mml:mi":[29,35,48,57,61,73,81,87,94,96,102,106,110,114,129,140,149,160],"mathvariant=\"italic\">P</mml:mi>":[30],"<mml:mo>=</mml:mo>":[31],"<mml:mo>\u2212</mml:mo>":[32],"<mml:msup>":[33,46,59,127,147],"<mml:mrow>":[34,38,45,47,51,56,60,64,72,76,109,113,128,132,148,152],"mathvariant=\"italic\">h</mml:mi>":[36,95,107],"</mml:mrow>":[37,40,50,53,55,63,66,68,75,78,112,116,131,134,151,154],"</mml:msup>":[41,54,67,135,155],"<mml:mstyle":[42],"displaystyle=\"false\">":[43],"<mml:mfrac>":[44],"mathvariant=\"italic\">d</mml:mi>":[49,58],"mathvariant=\"italic\">x</mml:mi>":[62,88,103,115],"</mml:mfrac>":[69],"</mml:mstyle>":[70],"<mml:msub>":[71,108],"mathvariant=\"italic\">I</mml:mi>":[74],"</mml:msub>":[79,117],"<mml:mo>+</mml:mo>":[80,93],"mathvariant=\"italic\">V</mml:mi>":[82],"<mml:mo":[83,89,98,104,118,136,142,156,162],"fence=\"true\"":[84,90,99,119,137,143,157,163],"mathvariant=\"normal\"":[85,91,100,120,138,144,158,164],"stretchy=\"false\">(</mml:mo>":[86,101,139,159],"stretchy=\"false\">)</mml:mo>":[92,121,145,165],"mathvariant=\"italic\">R</mml:mi>":[97],"mathvariant=\"normal\">,</mml:mo>":[105],"mathvariant=\"italic\">D</mml:mi>":[111],"on":[123,179],"mathvariant=\"italic\">L</mml:mi>":[130,150],"mathvariant=\"double-struck\">R</mml:mi>":[141,161],"<mml:mo>\u2295</mml:mo>":[146],".":[167,211],"We":[168],"study":[169],"situation":[171],"where":[172],"diagonal":[174],"terms":[175,196],"V":[177],"cross":[178],"real":[181,192],"axis.":[182],"particular":[184],"it":[185],"is":[186],"proven":[187],"that,":[188],"due":[189],"to":[190,206],"crossing,":[193],"off-diagonal":[195],"are":[199],"no":[200],"longer":[201],"exponentially":[202],"small":[203],"respect":[205],"semi-classical":[208],"parameter":[209],"h":[210]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-01-08T20:05:33.558190","created_date":"2025-10-10T00:00:00"}
