Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2093300793', 'doi': 'https://doi.org/10.1103/physrevlett.80.1373', 'title': 'From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example', 'display_name': 'From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example', 'publication_year': 1998, 'publication_date': '1998-02-16', 'ids': {'openalex': 'https://openalex.org/W2093300793', 'doi': 'https://doi.org/10.1103/physrevlett.80.1373', 'mag': '2093300793'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physrevlett.80.1373', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S24807848', 'display_name': 'Physical Review Letters', 'issn_l': '0031-9007', 'issn': ['0031-9007', '1079-7114', '1092-0145'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320261', 'host_organization_name': 'American Physical Society', 'host_organization_lineage': ['https://openalex.org/P4310320261'], 'host_organization_lineage_names': ['American Physical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/cond-mat/9707253', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5029759804', 'display_name': 'Hal Tasaki', 'orcid': 'https://orcid.org/0000-0002-0883-4232'}, 'institutions': [{'id': 'https://openalex.org/I45391821', 'display_name': 'Gakushuin University', 'ror': 'https://ror.org/037s2db26', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I45391821']}], 'countries': ['JP'], 'is_corresponding': True, 'raw_author_name': 'Hal Tasaki', 'raw_affiliation_strings': ['Department of Physics, Gakushuin University, Mejiro Toshima-ku, Tokyo 171, Japan'], 'affiliations': [{'raw_affiliation_string': 'Department of Physics, Gakushuin University, Mejiro Toshima-ku, Tokyo 171, Japan', 'institution_ids': ['https://openalex.org/I45391821']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5029759804'], 'corresponding_institution_ids': ['https://openalex.org/I45391821'], 'apc_list': {'value': 3750, 'currency': 'USD', 'value_usd': 3750, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.891, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 393, 'citation_normalized_percentile': {'value': 0.981797, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '80', 'issue': '7', 'first_page': '1373', 'last_page': '1376'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11804', 'display_name': 'Quantum many-body systems', 'score': 0.9996, '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/T11804', 'display_name': 'Quantum many-body systems', 'score': 0.9996, '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/T11520', 'display_name': 'Advanced Thermodynamics and Statistical Mechanics', 'score': 0.9988, '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'}}, {'id': 'https://openalex.org/T11177', 'display_name': 'Spectroscopy and Quantum Chemical Studies', 'score': 0.997, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.66323626}, {'id': 'https://openalex.org/keywords/boltzmann-distribution', 'display_name': 'Boltzmann distribution', 'score': 0.50580263}, {'id': 'https://openalex.org/keywords/boltzmann-constant', 'display_name': 'Boltzmann constant', 'score': 0.48440844}], 'concepts': [{'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.66323626}, {'id': 'https://openalex.org/C84114770', 'wikidata': 'https://www.wikidata.org/wiki/Q46344', 'display_name': 'Quantum', 'level': 2, 'score': 0.58406544}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, 'score': 0.5811429}, {'id': 'https://openalex.org/C28556851', 'wikidata': 'https://www.wikidata.org/wiki/Q1077753', 'display_name': 'Canonical ensemble', 'level': 3, 'score': 0.552153}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.5407126}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.5299564}, {'id': 'https://openalex.org/C193999330', 'wikidata': 'https://www.wikidata.org/wiki/Q834200', 'display_name': 'Boltzmann distribution', 'level': 2, 'score': 0.50580263}, {'id': 'https://openalex.org/C35304006', 'wikidata': 'https://www.wikidata.org/wiki/Q5962', 'display_name': 'Boltzmann constant', 'level': 2, 'score': 0.48440844}, {'id': 'https://openalex.org/C15184713', 'wikidata': 'https://www.wikidata.org/wiki/Q7269042', 'display_name': 'Quantum dynamics', 'level': 3, 'score': 0.42133373}, {'id': 'https://openalex.org/C74650414', 'wikidata': 'https://www.wikidata.org/wiki/Q11397', 'display_name': 'Classical mechanics', 'level': 1, 'score': 0.35550568}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.32298335}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.21963325}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C158448853', 'wikidata': 'https://www.wikidata.org/wiki/Q425218', 'display_name': 'Repressor', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C86339819', 'wikidata': 'https://www.wikidata.org/wiki/Q407384', 'display_name': 'Transcription factor', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C19499675', 'wikidata': 'https://www.wikidata.org/wiki/Q232207', 'display_name': 'Monte Carlo method', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physrevlett.80.1373', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S24807848', 'display_name': 'Physical Review Letters', 'issn_l': '0031-9007', 'issn': ['0031-9007', '1079-7114', '1092-0145'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320261', 'host_organization_name': 'American Physical Society', 'host_organization_lineage': ['https://openalex.org/P4310320261'], 'host_organization_lineage_names': ['American Physical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/cond-mat/9707253', 'pdf_url': 'http://arxiv.org/pdf/cond-mat/9707253', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/cond-mat/9707253', 'pdf_url': 'https://arxiv.org/pdf/cond-mat/9707253', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': None, 'pdf_url': 'https://arxiv.org/pdf/cond-mat/9707253.pdf', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.cond-mat/9707253', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/cond-mat/9707253', 'pdf_url': 'http://arxiv.org/pdf/cond-mat/9707253', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [{'id': 'https://metadata.un.org/sdg/7', 'score': 0.71, 'display_name': 'Affordable and clean energy'}], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2093300793'], 'referenced_works_count': 13, 'referenced_works': ['https://openalex.org/W1965468955', 'https://openalex.org/W2014504423', 'https://openalex.org/W2034251480', 'https://openalex.org/W2047346170', 'https://openalex.org/W2051069677', 'https://openalex.org/W2064975723', 'https://openalex.org/W2108947461', 'https://openalex.org/W2136540111', 'https://openalex.org/W2332245347', 'https://openalex.org/W2608385810', 'https://openalex.org/W297542063', 'https://openalex.org/W3118259273', 'https://openalex.org/W4250498278'], 'related_works': ['https://openalex.org/W62562730', 'https://openalex.org/W4386784508', 'https://openalex.org/W4386783451', 'https://openalex.org/W4383426484', 'https://openalex.org/W3134414774', 'https://openalex.org/W3003415225', 'https://openalex.org/W2481286117', 'https://openalex.org/W2245163516', 'https://openalex.org/W2091511488', 'https://openalex.org/W2047292326'], 'abstract_inverted_index': {'Derivation': [0], 'of': [1, 20, 54, 80, 84, 100], 'the': [2, 32, 52, 61, 65, 74, 85, 91, 104], 'canonical': [3, 62, 93], '(or': [4], 'Boltzmann)': [5], 'distribution': [6, 63], 'based': [7], 'only': [8], 'on': [9], 'quantum': [10, 76], 'dynamics': [11], 'is': [12, 35, 87], 'discussed.': [13], 'Consider': [14], 'a': [15, 21, 26, 38, 98], 'closed': [16], 'system': [17, 34], 'which': [18, 103], 'consists': [19], 'mutually': [22], 'interacting': [23], 'subsystem': [24, 86], 'and': [25, 29, 71], 'heat': [27], 'bath,': [28], 'assume': [30], 'that': [31], 'whole': [33], 'initially': [36], 'in': [37, 64, 102], 'pure': [39], 'state': [40], '(which': [41], 'can': [42, 107], 'be': [43, 108], 'far': [44], 'from': [45], 'equilibrium)': [46], 'with': [47], 'small': [48], 'energy': [49], 'fluctuation.': [50], 'Under': [51], '``hypothesis': [53], 'equal': [55, 89], 'weights': [56], 'for': [57], "eigenstates,''": [58], 'we': [59], 'derive': [60], 'sense': [66], 'that,': [67], 'at': [68], 'sufficiently': [69], 'large': [70], 'typical': [72], 'time,': [73], '(instantaneous)': [75], 'mechanical': [77], 'expectation': [78, 94], 'value': [79], 'an': [81], 'arbitrary': [82], 'operator': [83], 'almost': [88], 'to': [90], 'desired': [92], 'value.': [95], 'We': [96], 'present': [97], 'class': [99], 'examples': [101], 'above': [105], 'derivation': [106], 'rigorously': [109], 'established': [110], 'without': [111], 'any': [112], 'unproven': [113], 'hypotheses.': [114]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2093300793', 'counts_by_year': [{'year': 2024, 'cited_by_count': 12}, {'year': 2023, 'cited_by_count': 22}, {'year': 2022, 'cited_by_count': 13}, {'year': 2021, 'cited_by_count': 31}, {'year': 2020, 'cited_by_count': 30}, {'year': 2019, 'cited_by_count': 30}, {'year': 2018, 'cited_by_count': 36}, {'year': 2017, 'cited_by_count': 33}, {'year': 2016, 'cited_by_count': 30}, {'year': 2015, 'cited_by_count': 25}, {'year': 2014, 'cited_by_count': 17}, {'year': 2013, 'cited_by_count': 13}, {'year': 2012, 'cited_by_count': 17}], 'updated_date': '2024-12-12T06:50:16.906481', 'created_date': '2016-06-24'}