Publication Information

{'id': 'https://openalex.org/W2253086220', 'doi': 'https://doi.org/10.1088/0253-6102/58/1/06', 'title': 'Transformation Between Eigenfunctions of Three Components of Geometric Momentum on Two-Dimensional Sphere', 'display_name': 'Transformation Between Eigenfunctions of Three Components of Geometric Momentum on Two-Dimensional Sphere', 'publication_year': 2012, 'publication_date': '2012-07-01', 'ids': {'openalex': 'https://openalex.org/W2253086220', 'doi': 'https://doi.org/10.1088/0253-6102/58/1/06', 'mag': '2253086220'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1088/0253-6102/58/1/06', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S165969127', 'display_name': 'Communications in Theoretical Physics', 'issn_l': '0253-6102', 'issn': ['0253-6102', '1572-9494'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5101563679', 'display_name': 'Haoran Sun', 'orcid': 'https://orcid.org/0009-0007-7817-1773'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Hao-Ran Sun', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5110316712', 'display_name': 'Damao Xun', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Da-Mao Xun', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5002288254', 'display_name': 'Liang-Hui Tang', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Liang-Hui Tang', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5034343506', 'display_name': 'Quanhui Liu', 'orcid': 'https://orcid.org/0000-0002-8318-1403'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Quan-Hui Liu', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.052, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 5, 'citation_normalized_percentile': {'value': 0.596125, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 80, 'max': 81}, 'biblio': {'volume': '58', 'issue': '1', 'first_page': '31', 'last_page': '33'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11261', 'display_name': 'Quantum chaos and dynamical systems', 'score': 0.9979, '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'}}, 'topics': [{'id': 'https://openalex.org/T11261', 'display_name': 'Quantum chaos and dynamical systems', 'score': 0.9979, '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/T13126', 'display_name': 'Scientific Research and Discoveries', 'score': 0.9977, '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/T10325', 'display_name': 'Astro and Planetary Science', 'score': 0.9726, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/eigenfunction', 'display_name': 'Eigenfunction', 'score': 0.86045974}, {'id': 'https://openalex.org/keywords/geometric-transformation', 'display_name': 'Geometric transformation', 'score': 0.6239646}, {'id': 'https://openalex.org/keywords/momentum', 'display_name': 'Momentum (technical analysis)', 'score': 0.4630229}], 'concepts': [{'id': 'https://openalex.org/C128803854', 'wikidata': 'https://www.wikidata.org/wiki/Q1307821', 'display_name': 'Eigenfunction', 'level': 3, 'score': 0.86045974}, {'id': 'https://openalex.org/C204241405', 'wikidata': 'https://www.wikidata.org/wiki/Q461499', 'display_name': 'Transformation (genetics)', 'level': 3, 'score': 0.7705756}, {'id': 'https://openalex.org/C80551277', 'wikidata': 'https://www.wikidata.org/wiki/Q11210', 'display_name': 'Coordinate system', 'level': 2, 'score': 0.6444751}, {'id': 'https://openalex.org/C45374587', 'wikidata': 'https://www.wikidata.org/wiki/Q12525525', 'display_name': 'Computation', 'level': 2, 'score': 0.62848467}, {'id': 'https://openalex.org/C56435381', 'wikidata': 'https://www.wikidata.org/wiki/Q1196371', 'display_name': 'Geometric transformation', 'level': 3, 'score': 0.6239646}, {'id': 'https://openalex.org/C126990412', 'wikidata': 'https://www.wikidata.org/wiki/Q203218', 'display_name': 'Spherical coordinate system', 'level': 2, 'score': 0.4921345}, {'id': 'https://openalex.org/C2776799497', 'wikidata': 'https://www.wikidata.org/wiki/Q484298', 'display_name': 'Surface (topology)', 'level': 2, 'score': 0.46618244}, {'id': 'https://openalex.org/C60718061', 'wikidata': 'https://www.wikidata.org/wiki/Q1414747', 'display_name': 'Momentum (technical analysis)', 'level': 2, 'score': 0.4630229}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.45079803}, {'id': 'https://openalex.org/C74650414', 'wikidata': 'https://www.wikidata.org/wiki/Q11397', 'display_name': 'Classical mechanics', 'level': 1, 'score': 0.3766977}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.30574143}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.3034955}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.26377824}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.248281}, {'id': 'https://openalex.org/C115961682', 'wikidata': 'https://www.wikidata.org/wiki/Q860623', 'display_name': 'Image (mathematics)', 'level': 2, 'score': 0.15841705}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, 'score': 0.13703516}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.11996728}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.08326912}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.055865735}, {'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/C10138342', 'wikidata': 'https://www.wikidata.org/wiki/Q43015', 'display_name': 'Finance', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, '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': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1088/0253-6102/58/1/06', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S165969127', 'display_name': 'Communications in Theoretical Physics', 'issn_l': '0253-6102', 'issn': ['0253-6102', '1572-9494'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 23, 'referenced_works': ['https://openalex.org/W1884178933', 'https://openalex.org/W1978652497', 'https://openalex.org/W1979039678', 'https://openalex.org/W1981007822', 'https://openalex.org/W2006566973', 'https://openalex.org/W2008259110', 'https://openalex.org/W2013970197', 'https://openalex.org/W2016504946', 'https://openalex.org/W2022540021', 'https://openalex.org/W2043689179', 'https://openalex.org/W2075857417', 'https://openalex.org/W2077010910', 'https://openalex.org/W2090098201', 'https://openalex.org/W2096707610', 'https://openalex.org/W2237659999', 'https://openalex.org/W3049503715', 'https://openalex.org/W3106343691', 'https://openalex.org/W3121683057', 'https://openalex.org/W3161114015', 'https://openalex.org/W4235651247', 'https://openalex.org/W4235706806', 'https://openalex.org/W4240743610', 'https://openalex.org/W593239524'], 'related_works': ['https://openalex.org/W4315557013', 'https://openalex.org/W4288443354', 'https://openalex.org/W3213349779', 'https://openalex.org/W3084571620', 'https://openalex.org/W2804229607', 'https://openalex.org/W2612035765', 'https://openalex.org/W2372486955', 'https://openalex.org/W2082578770', 'https://openalex.org/W2030503888', 'https://openalex.org/W2027063296'], 'abstract_inverted_index': {'A': [0], 'technique': [1], 'of': [2, 19, 22, 53, 56], 'coordinate': [3], 'transformation': [4, 16], 'is': [5, 59], 'devised': [6], 'to': [7, 62], 'overcome': [8], 'the': [9, 14, 23, 31, 42, 48, 65, 69], 'computational': [10], 'difficulty': [11], 'associated': [12], 'with': [13], 'direct': [15], 'between': [17], 'eigenfunctions': [18, 52], 'three': [20], 'components': [21, 55], 'geometric': [24, 57], 'momentum': [25, 58], 'on': [26], 'two-dimensional': [27], 'spherical': [28], 'surface,': [29], 'and': [30, 40], 'computations': [32], 'are': [33, 44], 'firstly': [34], 'carried': [35], 'out': [36], 'in': [37, 68], 'new': [38], 'coordinates': [39], 'secondly': [41], 'results': [43], 'transformed': [45], 'back': [46], 'into': [47], 'original': [49], 'coordinates.': [50], 'The': [51], 'different': [54], 'explicitly': [60], 'demonstrated': [61], 'transform': [63], 'under': [64], 'spatial': [66], 'rotations': [67], 'precise': [70], 'way': [71], 'we': [72], 'anticipate.': [73]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2253086220', 'counts_by_year': [{'year': 2015, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-10T16:11:53.866833', 'created_date': '2016-06-24'}