Publication Information

{'id': 'https://openalex.org/W2035548593', 'doi': 'https://doi.org/10.1103/physreva.33.3502', 'title': 'New method for the solution of the logarithmic nonlinear Schrödinger equation via stochastic mechanics', 'display_name': 'New method for the solution of the logarithmic nonlinear Schrödinger equation via stochastic mechanics', 'publication_year': 1986, 'publication_date': '1986-05-01', 'ids': {'openalex': 'https://openalex.org/W2035548593', 'doi': 'https://doi.org/10.1103/physreva.33.3502', 'mag': '2035548593', 'pmid': 'https://pubmed.ncbi.nlm.nih.gov/9920557'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physreva.33.3502', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210219937', 'display_name': 'Physical review. A, General physics', 'issn_l': '0556-2791', 'issn': ['0556-2791'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320257', 'host_organization_name': 'American Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310320257'], 'host_organization_lineage_names': ['American 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', 'pubmed'], '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/A5111473786', 'display_name': 'Antônio B. Nassar', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I161318765', 'display_name': 'University of California, Los Angeles', 'ror': 'https://ror.org/046rm7j60', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I161318765']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Antônio B. Nassar', 'raw_affiliation_strings': ['Department of Physics, University of California, Los Angeles, Los Angeles, California 90024'], 'affiliations': [{'raw_affiliation_string': 'Department of Physics, University of California, Los Angeles, Los Angeles, California 90024', 'institution_ids': ['https://openalex.org/I161318765']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5111473786'], 'corresponding_institution_ids': ['https://openalex.org/I161318765'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.614, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 29, 'citation_normalized_percentile': {'value': 0.830456, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 89, 'max': 90}, 'biblio': {'volume': '33', 'issue': '5', 'first_page': '3502', 'last_page': '3505'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10425', 'display_name': 'Cold Atom Physics and Bose-Einstein Condensates', 'score': 0.9987, '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/T10425', 'display_name': 'Cold Atom Physics and Bose-Einstein Condensates', 'score': 0.9987, '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/T10020', 'display_name': 'Quantum Information and Cryptography', 'score': 0.9981, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11262', 'display_name': 'Quantum Mechanics and Non-Hermitian Physics', 'score': 0.9979, '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/zero', 'display_name': 'Zero (linguistics)', 'score': 0.43467456}, {'id': 'https://openalex.org/keywords/zero-point-energy', 'display_name': 'Zero-point energy', 'score': 0.4218093}], 'concepts': [{'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.7949215}, {'id': 'https://openalex.org/C2779557605', 'wikidata': 'https://www.wikidata.org/wiki/Q9890', 'display_name': 'Omega', 'level': 2, 'score': 0.7598342}, {'id': 'https://openalex.org/C2778113609', 'wikidata': 'https://www.wikidata.org/wiki/Q10897', 'display_name': 'Lambda', 'level': 2, 'score': 0.70181406}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.5591452}, {'id': 'https://openalex.org/C40934718', 'wikidata': 'https://www.wikidata.org/wiki/Q190070', 'display_name': 'Harmonic oscillator', 'level': 2, 'score': 0.55255383}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.549524}, {'id': 'https://openalex.org/C39927690', 'wikidata': 'https://www.wikidata.org/wiki/Q11197', 'display_name': 'Logarithm', 'level': 2, 'score': 0.53709424}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.5113899}, {'id': 'https://openalex.org/C106978608', 'wikidata': 'https://www.wikidata.org/wiki/Q1412691', 'display_name': 'Wave packet', 'level': 2, 'score': 0.4507905}, {'id': 'https://openalex.org/C186370098', 'wikidata': 'https://www.wikidata.org/wiki/Q442787', 'display_name': 'Energy (signal processing)', 'level': 2, 'score': 0.43969873}, {'id': 'https://openalex.org/C2780813799', 'wikidata': 'https://www.wikidata.org/wiki/Q3274237', 'display_name': 'Zero (linguistics)', 'level': 2, 'score': 0.43467456}, {'id': 'https://openalex.org/C53104380', 'wikidata': 'https://www.wikidata.org/wiki/Q4327971', 'display_name': 'Zero-point energy', 'level': 2, 'score': 0.4218093}, {'id': 'https://openalex.org/C74650414', 'wikidata': 'https://www.wikidata.org/wiki/Q11397', 'display_name': 'Classical mechanics', 'level': 1, 'score': 0.34270582}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.27927285}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.12853569}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physreva.33.3502', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210219937', 'display_name': 'Physical review. A, General physics', 'issn_l': '0556-2791', 'issn': ['0556-2791'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310320257', 'host_organization_name': 'American Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310320257'], 'host_organization_lineage_names': ['American Institute of Physics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://pubmed.ncbi.nlm.nih.gov/9920557', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306525036', 'display_name': 'PubMed', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1299303238', 'host_organization_name': 'National Institutes of Health', 'host_organization_lineage': ['https://openalex.org/I1299303238'], 'host_organization_lineage_names': ['National Institutes of Health'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.47, 'id': 'https://metadata.un.org/sdg/7', 'display_name': 'Affordable and clean energy'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 22, 'referenced_works': ['https://openalex.org/W1964470050', 'https://openalex.org/W1968462751', 'https://openalex.org/W1974148654', 'https://openalex.org/W1984948191', 'https://openalex.org/W2001544532', 'https://openalex.org/W2004252393', 'https://openalex.org/W2013208298', 'https://openalex.org/W2025902342', 'https://openalex.org/W2032065334', 'https://openalex.org/W2033127030', 'https://openalex.org/W2045434487', 'https://openalex.org/W2054856439', 'https://openalex.org/W2069048516', 'https://openalex.org/W2076523251', 'https://openalex.org/W2083420844', 'https://openalex.org/W2087729103', 'https://openalex.org/W2093206950', 'https://openalex.org/W2095400524', 'https://openalex.org/W2117997735', 'https://openalex.org/W2171594451', 'https://openalex.org/W4248377358', 'https://openalex.org/W4248422768'], 'related_works': ['https://openalex.org/W4292947165', 'https://openalex.org/W3201655533', 'https://openalex.org/W3134442314', 'https://openalex.org/W3045121788', 'https://openalex.org/W3016395638', 'https://openalex.org/W2734192830', 'https://openalex.org/W238609530', 'https://openalex.org/W2330619174', 'https://openalex.org/W2090124444', 'https://openalex.org/W1636163329'], 'abstract_inverted_index': {'Via': [0], "Nelson's": [1], 'stochastic': [2, 48], 'mechanics,': [3], 'a': [4, 21, 29, 39], 'method': [5], 'for': [6], 'the': [7, 10, 14, 33, 52, 74, 88, 103, 107], 'solution': [8, 43], 'of': [9, 13, 32, 62, 76], 'hydrodynamical': [11], 'version': [12], 'logarithmic': [15], 'nonlinear': [16], 'Schr\\"odinger': [17], 'equation': [18], '(LNLSE),': [19], 'with': [20, 51, 98], 'time-dependent': [22], 'forced-harmonic-oscillator': [23], 'potential,': [24], 'is': [25, 44, 54, 85, 91], 'presented.': [26], 'Based': [27], 'on': [28], 'new': [30], 'interpretation': [31], 'interplay': [34], 'between': [35], 'dispersion': [36], 'and': [37, 57, 66, 70, 100, 106], 'nonlinearity,': [38], 'revealing': [40], 'general': [41], 'spreading-wave-packet': [42], 'found.': [45], 'The': [46], 'complete': [47], 'process': [49], 'associated': [50], 'LNLSE': [53], 'also': [55], 'derived': [56], 'decomposed': [58], 'into': [59], 'underlying': [60], 'processes': [61], 'independent': [63], 'nature': [64], '(classical': [65], 'quantum).': [67], 'Physical': [68], 'consequences': [69], 'conditions': [71], 'which': [72], 'allow': [73], 'existence': [75], 'solitonlike': [77], '(nonspreading)': [78], 'solutions': [79], 'are': [80], 'described:': [81], 'Among': [82], 'them,': [83], 'it': [84], 'found': [86], 'that': [87], 'zero-point': [89], 'energy': [90], 'given': [92], 'by': [93], '${\\ensuremath{\\epsilon}}_{0}$=\\ensuremath{\\Elzxh}${\\ensuremath{\\Omega}}_{0}$/2,': [94], 'where': [95], '${\\ensuremath{\\Omega}}_{0}$=\\ensuremath{\\lambda}/2+[(\\ensuremath{\\lambda}/2)+${\\ensuremath{\\omega}}_{0}^{2}$]': [96], '$^{1/2}$': [97], '${\\ensuremath{\\omega}}_{0}$': [99], '\\ensuremath{\\lambda}': [101], 'being': [102], 'harmonic': [104], 'frequency': [105], 'nonlinearity': [108], 'strength,': [109], 'respectively.': [110]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2035548593', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 3}, {'year': 2016, 'cited_by_count': 3}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2024-12-22T04:02:08.312001', 'created_date': '2016-06-24'}