{"id":"https://openalex.org/W2948764264","doi":null,"title":"Quantum Frames and Uncertainty Principles arising from Symplectomorphisms","display_name":"Quantum Frames and Uncertainty Principles arising from Symplectomorphisms","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2948764264","mag":"2948764264"},"language":"en","primary_location":{"id":"pmh:oai:elib.suub.uni-bremen.de:DISS/00107143","doi":null,"is_oa":false,"landing_page_url":"http://elib.suub.uni-bremen.de/peid=D00107143","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://nbn-resolving.de/<identifier scheme=\"urn:nbn:de\">urn:nbn:de:gbv:46-00107143-11</identifier>","raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5052446178","display_name":"Daniel Lantzberg","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lantzberg, Daniel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5052446178"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06613087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.0,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/heisenberg-uncertainty-principle","display_name":"uncertainty principle","score":0.9419999718666077},{"id":"https://openalex.org/keywords/symplectomorphisms","display_name":"symplectomorphisms","score":0.996999979019165},{"id":"https://openalex.org/keywords/phase-space","display_name":"phase space","score":0.828000009059906},{"id":"https://openalex.org/keywords/curvilinear-flow","display_name":"curvilinear flow","score":0.8220000267028809},{"id":"https://openalex.org/keywords/signal-decomposition","display_name":"signal decomposition","score":0.5180000066757202},{"id":"https://openalex.org/keywords/wavelet-frames","display_name":"wavelet frames","score":0.3529999852180481}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43504205346107483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3994075655937195},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.335394024848938},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.196738600730896},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15615680813789368}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:elib.suub.uni-bremen.de:DISS/00107143","doi":null,"is_oa":false,"landing_page_url":"http://elib.suub.uni-bremen.de/peid=D00107143","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://nbn-resolving.de/<identifier scheme=\"urn:nbn:de\">urn:nbn:de:gbv:46-00107143-11</identifier>","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7014533680","https://openalex.org/W4410529501","https://openalex.org/W2039962745","https://openalex.org/W2156975669","https://openalex.org/W4396708119","https://openalex.org/W2007588662","https://openalex.org/W2891482985","https://openalex.org/W7125379675","https://openalex.org/W3198483511","https://openalex.org/W1492171629"],"abstract_inverted_index":{"In":[0],"this":[1],"thesis,":[2],"a":[3,10,18,23,44,73,88,97],"new":[4,11],"generalized":[5],"signal":[6],"transform":[7],"along":[8,37],"with":[9,67,116,138],"uncertainty":[12,51,113],"principle":[13,52],"is":[14,47,71,91],"elaborated.":[15],"Starting":[16],"from":[17,130],"coordinate":[19,117],"system,":[20],"associated":[21,72,115],"to":[22,33,56,140,147],"specific":[24],"symplectomorphism":[25],"on":[26],"phase":[27,40,59,74,79,108,120],"space,":[28,121],"the":[29,39,50,54,58,78,85,128,131,135,141],"coordinates":[30,144],"are":[31,122],"used":[32],"define":[34,106],"curvilinear":[35],"flows":[36],"which":[38,57,96,126],"space":[41,60,75,80,109],"picture":[42,61],"of":[43,62,82,87,95,99,125],"prototype":[45],"function":[46,70],"translated.":[48],"As":[49],"restricts":[53],"amount":[55],"functions":[63,101],"can":[64],"be":[65,103],"concentrated,":[66],"each":[68],"such":[69],"cell.":[76],"Using":[77],"translates":[81],"these":[83],"cells,":[84,110],"notion":[86],"quantum":[89],"frame":[90],"defined,":[92],"by":[93],"means":[94],"reservoir":[98],"interesting":[100],"may":[102],"decomposed.":[104],"To":[105],"optimal":[107],"two":[111],"complementing":[112],"principles,":[114],"systems":[118],"in":[119],"introduced,":[123],"one":[124],"measures":[127],"deviation":[129],"chosen":[132],"frame,":[133],"while":[134],"other":[136],"optimizes":[137],"respect":[139],"canonically":[142],"conjugate":[143],"and":[145],"leads":[146],"more":[148],"concentrated":[149],"waveforms.":[150]},"counts_by_year":[],"updated_date":"2026-09-12T09:15:50.089291","created_date":"2025-10-10T00:00:00"}
