{"id":"https://openalex.org/W7212044724","doi":"https://doi.org/10.48550/arxiv.2609.07167","title":"The (in)stability on total transmission modes with small bumps","display_name":"The (in)stability on total transmission modes with small bumps","publication_year":2026,"publication_date":"2026-09-07","ids":{"openalex":"https://openalex.org/W7212044724","doi":"https://doi.org/10.48550/arxiv.2609.07167"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.07167","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.07167","pdf_url":"https://arxiv.org/pdf/2609.07167","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/2609.07167","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083870192","display_name":"Dong Xi-ning","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dong, Xi-Ning","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087981319","display_name":"Liang-Bi Wu","orcid":"https://orcid.org/0000-0003-0107-4944","observed_orcids":["https://orcid.org/0000-0003-0107-4944"]},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu, Liang-Bi","raw_affiliation_strings":["School of Fundamental Physics and Mathematical Sciences , Hangzhou Institute for Advanced Study , UCAS , Hangzhou 310024 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Fundamental Physics and Mathematical Sciences , Hangzhou Institute for Advanced Study , UCAS , Hangzhou 310024 , China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5151065091","display_name":"Yu-Sen Zhou","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhou, Yu-Sen","raw_affiliation_strings":["Department of Modern Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China","Interdisciplinary Center for Theoretical Study and"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Modern Physics , University of Science and Technology of China , Hefei , Anhui 230026 , China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Interdisciplinary Center for Theoretical Study and","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5151098037","display_name":"Zong-Kuan Guo","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guo, Zong-Kuan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"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":3,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.0027000000700354576,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0024999999441206455,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quasinormal-modes","display_name":"quasinormal modes","score":0.8420000076293945},{"id":"https://openalex.org/keywords/effective-potential","display_name":"effective potential","score":0.6800000071525574},{"id":"https://openalex.org/keywords/black-hole-perturbations","display_name":"black hole perturbations","score":0.7379999756813049}],"concepts":[{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.7369999885559082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5873000025749207},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4982999861240387},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.42719998955726624},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.40400001406669617},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.39469999074935913},{"id":"https://openalex.org/C122381330","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Frequency spectrum","level":3,"score":0.382999986410141},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.37779998779296875},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.35929998755455017},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.3230000138282776},{"id":"https://openalex.org/C32758168","wikidata":"https://www.wikidata.org/wiki/Q900488","display_name":"Normal mode","level":3,"score":0.3199999928474426},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.310699999332428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31060001254081726},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30959999561309814},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.28619998693466187},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.2838999927043915},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.28049999475479126},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2752000093460083},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.26759999990463257},{"id":"https://openalex.org/C33441834","wikidata":"https://www.wikidata.org/wiki/Q693004","display_name":"Transmission line","level":2,"score":0.26269999146461487},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.25450000166893005},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.2531999945640564}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.07167","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.07167","pdf_url":"https://arxiv.org/pdf/2609.07167","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.2609.07167","doi":"https://doi.org/10.48550/arxiv.2609.07167","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.07167","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.07167","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.07167","pdf_url":"https://arxiv.org/pdf/2609.07167","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":[{"id":"https://openalex.org/G3266504514","display_name":null,"funder_award_id":"12235019","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3549593041","display_name":null,"funder_award_id":"12505067","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6009552194","display_name":null,"funder_award_id":"12475067","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212044724.pdf","grobid_xml":"https://content.openalex.org/works/W7212044724.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W1680765492","https://openalex.org/W1968833481","https://openalex.org/W1979088400","https://openalex.org/W1997745924","https://openalex.org/W2010218176","https://openalex.org/W2040216147","https://openalex.org/W2059360084","https://openalex.org/W2120923477","https://openalex.org/W2125216805","https://openalex.org/W2252795400","https://openalex.org/W2320189730","https://openalex.org/W2477118673","https://openalex.org/W2758064913","https://openalex.org/W2887758667","https://openalex.org/W3016604559","https://openalex.org/W3034071862","https://openalex.org/W3094812309","https://openalex.org/W3184769210","https://openalex.org/W4221057111","https://openalex.org/W4321490839","https://openalex.org/W4385209494","https://openalex.org/W4400414426","https://openalex.org/W4401609782","https://openalex.org/W4403247199","https://openalex.org/W4403595883","https://openalex.org/W4404468218","https://openalex.org/W4409185462","https://openalex.org/W4410286780","https://openalex.org/W4410991749","https://openalex.org/W4411768396","https://openalex.org/W4413382750","https://openalex.org/W4414820325","https://openalex.org/W4416364036","https://openalex.org/W4417073779","https://openalex.org/W4417530165","https://openalex.org/W7140411308","https://openalex.org/W7147295520","https://openalex.org/W7155552969","https://openalex.org/W7157256280","https://openalex.org/W7160408918","https://openalex.org/W7166178655","https://openalex.org/W7214610011"],"related_works":["https://openalex.org/W4417530165","https://openalex.org/W7215091649","https://openalex.org/W7117107456","https://openalex.org/W4221057111","https://openalex.org/W3213449689","https://openalex.org/W4385209494","https://openalex.org/W7223311173","https://openalex.org/W3142645905","https://openalex.org/W3016604559","https://openalex.org/W4410286780"],"abstract_inverted_index":{"Total":[0],"transmission":[1],"modes":[2,19],"(TTMs)":[3],"are":[4],"a":[5,46,57],"class":[6],"of":[7,38,40,66],"reflectionless":[8],"solutions":[9],"to":[10,17,26,61],"black":[11,42],"hole":[12],"perturbation":[13,50],"equations,":[14],"closely":[15],"related":[16],"quasinormal":[18],"(QNMs),":[20],"and":[21,55,73],"can":[22],"exhibit":[23],"significant":[24,90],"sensitivity":[25],"weak":[27],"environmental":[28],"perturbations.":[29],"In":[30],"this":[31],"work,":[32],"we":[33],"investigate":[34],"the":[35,52,63,67,75,85,98],"spectrum":[36,82,99],"(in)stability":[37],"TTMs":[39,88],"Tangherlini":[41],"holes":[43],"by":[44,102],"introducing":[45],"localized":[47,68],"P\u00f6schl-Teller":[48],"bump":[49],"into":[51],"effective":[53],"potential,":[54],"employ":[56],"modified":[58],"Chebyshev-Lobatto":[59],"grid":[60],"improve":[62],"numerical":[64],"accuracy":[65],"perturbation.":[69],"For":[70],"$d=14$,":[71],"$\\ell=2$,":[72],"$s=2$,":[74],"purely":[76],"imaginary":[77],"TTM":[78],"exhibits":[79],"relatively":[80],"strong":[81],"stability,":[83],"whereas":[84],"genuine":[86],"complex":[87],"undergo":[89],"migrations":[91],"even":[92],"for":[93],"small":[94],"perturbations,":[95],"consistent":[96],"with":[97],"stability":[100],"revealed":[101],"previous":[103],"pseudospectrum":[104],"analyses.":[105]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-10T00:00:00"}
