{"id":"https://openalex.org/W1990165752","doi":"https://doi.org/10.1209/epl/i2003-00288-6","title":"A unified solution of the specific-heat\u2013phonon spectrum inversion problem","display_name":"A unified solution of the specific-heat\u2013phonon spectrum inversion problem","publication_year":2003,"publication_date":"2003-03-01","ids":{"openalex":"https://openalex.org/W1990165752","doi":"https://doi.org/10.1209/epl/i2003-00288-6","mag":"1990165752"},"language":"en","primary_location":{"id":"doi:10.1209/epl/i2003-00288-6","doi":"https://doi.org/10.1209/epl/i2003-00288-6","is_oa":true,"landing_page_url":"https://doi.org/10.1209/epl/i2003-00288-6","pdf_url":"https://iopscience.iop.org/article/10.1209/epl/i2003-00288-6/pdf","source":{"id":"https://openalex.org/S161185981","display_name":"Europhysics Letters (EPL)","issn_l":"0295-5075","issn":["0295-5075","1286-4854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Europhysics Letters (EPL)","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1209/epl/i2003-00288-6/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110499896","display_name":"Deng-Ming Ming","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4391768224","display_name":"State Key Laboratory of Surface Physics","ror":"https://ror.org/000nbq540","country_code":"CN","type":"facility","lineage":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"DengMing Ming","raw_affiliation_strings":["Group of Quantum Statistics and Methods of Theoretical Physics Surface Physics Laboratory, Department of Physics, Fudan University Shanghai 200433, PRC","Group of Quantum Statistics and Methods of Theoretical#N# Physics  Surface Physics Laboratory, Department of Physics,#N# Fudan University  Shanghai 200433, PRC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Group of Quantum Statistics and Methods of Theoretical Physics Surface Physics Laboratory, Department of Physics, Fudan University Shanghai 200433, PRC","institution_ids":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]},{"raw_affiliation_string":"Group of Quantum Statistics and Methods of Theoretical#N# Physics  Surface Physics Laboratory, Department of Physics,#N# Fudan University  Shanghai 200433, PRC","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015996382","display_name":"Tao Wen","orcid":"https://orcid.org/0000-0001-6105-932X","observed_orcids":["https://orcid.org/0000-0001-6105-932X"]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4391768224","display_name":"State Key Laboratory of Surface Physics","ror":"https://ror.org/000nbq540","country_code":"CN","type":"facility","lineage":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Wen","raw_affiliation_strings":["Group of Quantum Statistics and Methods of Theoretical Physics Surface Physics Laboratory, Department of Physics, Fudan University Shanghai 200433, PRC","Group of Quantum Statistics and Methods of Theoretical#N# Physics  Surface Physics Laboratory, Department of Physics,#N# Fudan University  Shanghai 200433, PRC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Group of Quantum Statistics and Methods of Theoretical Physics Surface Physics Laboratory, Department of Physics, Fudan University Shanghai 200433, PRC","institution_ids":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]},{"raw_affiliation_string":"Group of Quantum Statistics and Methods of Theoretical#N# Physics  Surface Physics Laboratory, Department of Physics,#N# Fudan University  Shanghai 200433, PRC","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111588922","display_name":"JiXin Dai","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JiXin Dai","raw_affiliation_strings":["Department of Chemistry, New York University - New York, NY 10003, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry, New York University - New York, NY 10003, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112805733","display_name":"William Edwin Evenson","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. E Evenson","raw_affiliation_strings":["Department of Physics, Brigham Young University - Provo, Utah 84602, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Brigham Young University - Provo, Utah 84602, USA","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100836462","display_name":"XianXi Dai","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]},{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]},{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4391768224","display_name":"State Key Laboratory of Surface Physics","ror":"https://ror.org/000nbq540","country_code":"CN","type":"facility","lineage":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"XianXi Dai","raw_affiliation_strings":["Department of Physics, Brigham Young University - Provo, Utah 84602, USA","Department of Physics, Shanghai University - Shanghai 200436, PRC","Group of Quantum Statistics and Methods of Theoretical Physics Surface Physics Laboratory, Department of Physics, Fudan University Shanghai 200433, PRC"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Brigham Young University - Provo, Utah 84602, USA","institution_ids":["https://openalex.org/I100005738"]},{"raw_affiliation_string":"Department of Physics, Shanghai University - Shanghai 200436, PRC","institution_ids":["https://openalex.org/I113940042"]},{"raw_affiliation_string":"Group of Quantum Statistics and Methods of Theoretical Physics Surface Physics Laboratory, Department of Physics, Fudan University Shanghai 200433, PRC","institution_ids":["https://openalex.org/I24943067","https://openalex.org/I4391768224"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1895,"currency":"USD","value_usd":1895},"apc_paid":null,"fwci":0.6291,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62012291,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"61","issue":"6","first_page":"723","last_page":"728"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.798799991607666,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10037","display_name":"Physics of Superconductivity and Magnetism","score":0.798799991607666,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.022700000554323196,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.021700000390410423,"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/phonon-spectrum","display_name":"phonon spectrum","score":0.6790000200271606},{"id":"https://openalex.org/keywords/mobius-inversion-formula","display_name":"M\u00f6bius inversion","score":0.8510000109672546},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"inverse Laplace transform","score":0.8679999709129333},{"id":"https://openalex.org/keywords/riemann-zeta-function","display_name":"Riemann zeta function","score":0.9610000252723694},{"id":"https://openalex.org/keywords/yba2cu3o7-delta","display_name":"YBa2Cu3O7-\u03b4","score":0.8289999961853027},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.3400000035762787},{"id":"https://openalex.org/keywords/convergence-of-series","display_name":"convergence of series","score":0.7200000286102295},{"id":"https://openalex.org/keywords/asymptotic-behavior","display_name":"asymptotic behavior","score":0.7279999852180481}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6344083547592163},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.5454859733581543},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.46295860409736633},{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.4555152952671051},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.43544620275497437},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4342373013496399},{"id":"https://openalex.org/C24169881","wikidata":"https://www.wikidata.org/wiki/Q186608","display_name":"Phonon","level":2,"score":0.4192264676094055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41190972924232483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4075245261192322},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36747533082962036},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2941839098930359},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10819724202156067},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1209/epl/i2003-00288-6","doi":"https://doi.org/10.1209/epl/i2003-00288-6","is_oa":true,"landing_page_url":"https://doi.org/10.1209/epl/i2003-00288-6","pdf_url":"https://iopscience.iop.org/article/10.1209/epl/i2003-00288-6/pdf","source":{"id":"https://openalex.org/S161185981","display_name":"Europhysics Letters (EPL)","issn_l":"0295-5075","issn":["0295-5075","1286-4854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Europhysics Letters (EPL)","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1209/epl/i2003-00288-6","doi":null,"is_oa":false,"landing_page_url":"http://epljournal.edpsciences.org/10.1209/epl/i2003-00288-6/pdf","pdf_url":"http://epljournal.edpsciences.org/10.1209/epl/i2003-00288-6/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1209/epl/i2003-00288-6","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1209/epl/i2003-00288-6","doi":"https://doi.org/10.1209/epl/i2003-00288-6","is_oa":true,"landing_page_url":"https://doi.org/10.1209/epl/i2003-00288-6","pdf_url":"https://iopscience.iop.org/article/10.1209/epl/i2003-00288-6/pdf","source":{"id":"https://openalex.org/S161185981","display_name":"Europhysics Letters (EPL)","issn_l":"0295-5075","issn":["0295-5075","1286-4854"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Europhysics Letters (EPL)","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G201673029","display_name":"\u6ce2-\u7231\u51dd\u7ed3\u7814\u7a76\u4e2d\u82e5\u5e72\u524d\u6cbf\u95ee\u9898\u7684\u7406\u8bba\u63a2\u7d22","funder_award_id":"19975009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6203297514","display_name":"\u5e94\u7528\u7269\u7406\u4e2d\u82e5\u5e72\u9006\u95ee\u9898\u7814\u7a76","funder_award_id":"19834010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320309309","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1990165752.pdf","grobid_xml":"https://content.openalex.org/works/W1990165752.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W195310867","https://openalex.org/W1546795849","https://openalex.org/W1966595285","https://openalex.org/W1973298161","https://openalex.org/W1976370701","https://openalex.org/W1980458383","https://openalex.org/W1993734476","https://openalex.org/W2002926329","https://openalex.org/W2028252245","https://openalex.org/W2034425936","https://openalex.org/W2043612595","https://openalex.org/W2051283753","https://openalex.org/W2052126650","https://openalex.org/W2067868657","https://openalex.org/W2076609156","https://openalex.org/W2079428708","https://openalex.org/W2083007289","https://openalex.org/W2093251097","https://openalex.org/W2095042971","https://openalex.org/W2134434961","https://openalex.org/W2147921460","https://openalex.org/W2167423389","https://openalex.org/W3155039083","https://openalex.org/W3175367423","https://openalex.org/W4212875219"],"related_works":["https://openalex.org/W6960098911","https://openalex.org/W1980458383","https://openalex.org/W3192289488","https://openalex.org/W1969249076","https://openalex.org/W2075641814","https://openalex.org/W2068326094","https://openalex.org/W7014642125","https://openalex.org/W2014464789","https://openalex.org/W2124367632","https://openalex.org/W2994967151"],"abstract_inverted_index":{"In":[0,65],"the":[1,40,85,99,104,111,128,138],"specific-heat\u2013phonon":[2],"spectrum":[3,58],"inversion":[4,12,101],"problem":[5],"(SPI),":[6],"Chen's":[7,88,114],"solution":[8,32,89,115],"with":[9,34],"modified":[10],"M\u00f6bius":[11,100],"formula":[13,33],"(N.":[14],"X.":[15],"Chen":[16],"Phys.":[17],"Rev.":[18],"Lett.":[19],"64":[20],"(1990)":[21],"1193)":[22],"was":[23,52],"novel":[24],"and":[25,51,81,108,127],"of":[26,48,63,77,84,110,113,134],"great":[27],"interest.":[28],"Meanwhile,":[29],"Dai's":[30,94,124],"exact":[31,49],"a":[35,46,56],"parameter":[36,125],"s":[37,126],"for":[38],"canceling":[39],"divergence":[41],"has":[42],"succeeded":[43],"in":[44,137],"obtaining":[45],"series":[47,112],"solutions":[50],"employed":[53],"to":[54],"obtain":[55],"phonon":[57],"from":[59,93],"real":[60],"specific":[61],"data":[62],"YBCO.":[64],"this":[66],"paper":[67],"we":[68],"will":[69],"show":[70],"that,":[71],"by":[72],"using":[73,98],"an":[74],"integral":[75],"representation":[76],"inverse":[78],"Laplace":[79],"transformations":[80],"some":[82],"properties":[83],"Riemann":[86],"zeta-function,":[87],"can":[90],"be":[91],"derived":[92],"formula,":[95],"without":[96],"necessarily":[97],"formula.":[102],"Furthermore,":[103],"unique":[105],"existence":[106],"theorem":[107],"convergence":[109],"were":[116],"also":[117,121],"obtained.":[118],"It":[119],"is":[120],"shown":[122],"that":[123],"asymptotic":[129],"behavior":[130],"control":[131],"condition":[132],"are":[133],"crucial":[135],"importance":[136],"derivation.":[139]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
