Pub Date : 2010-03-03DOI: 10.1007/s11537-010-0947-4
U. Jannsen
{"title":"Weights in arithmetic geometry","authors":"U. Jannsen","doi":"10.1007/s11537-010-0947-4","DOIUrl":"https://doi.org/10.1007/s11537-010-0947-4","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2010-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11537-010-0947-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53185063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-08-30DOI: 10.1007/S11537-009-0926-9
D. Mcduff
{"title":"Symplectic embeddings and continued fractions: a survey","authors":"D. Mcduff","doi":"10.1007/S11537-009-0926-9","DOIUrl":"https://doi.org/10.1007/S11537-009-0926-9","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2009-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11537-009-0926-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53185212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-08-25DOI: 10.1142/9789814304634_0013
R. Seiringer
We present an overview of mathematical results on the low temperature properties of dilute quantum gases, which have been obtained in the past few years. The presentation includes a discussion of Bose–Einstein condensation, the excitation spectrum for trapped gases and its relation to superfluidity, as well as the appearance of quantized vortices in rotating systems. All these properties are intensely being studied in current experiments on cold atomic gases. We will give a description of the mathematics involved in understanding these phenomena, starting from the underlying many-body Schrödinger equation.
{"title":"Hot topics in cold gases","authors":"R. Seiringer","doi":"10.1142/9789814304634_0013","DOIUrl":"https://doi.org/10.1142/9789814304634_0013","url":null,"abstract":"We present an overview of mathematical results on the low temperature properties of dilute quantum gases, which have been obtained in the past few years. The presentation includes a discussion of Bose–Einstein condensation, the excitation spectrum for trapped gases and its relation to superfluidity, as well as the appearance of quantized vortices in rotating systems. All these properties are intensely being studied in current experiments on cold atomic gases. We will give a description of the mathematics involved in understanding these phenomena, starting from the underlying many-body Schrödinger equation.","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2009-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1142/9789814304634_0013","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64064346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-07-07DOI: 10.1007/s11537-009-0932-y
A. Barakat, A. Sole, V. Kac
{"title":"Poisson vertex algebras in the theory of Hamiltonian equations","authors":"A. Barakat, A. Sole, V. Kac","doi":"10.1007/s11537-009-0932-y","DOIUrl":"https://doi.org/10.1007/s11537-009-0932-y","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2009-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11537-009-0932-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53184781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-03-28DOI: 10.1007/S11537-009-0853-9
N. Nekrasov
{"title":"Instanton partition functions and M-theory","authors":"N. Nekrasov","doi":"10.1007/S11537-009-0853-9","DOIUrl":"https://doi.org/10.1007/S11537-009-0853-9","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2009-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11537-009-0853-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53184697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-03-28DOI: 10.1007/S11537-009-0852-X
M. Kontsevich
{"title":"Holonomic -modules and positive characteristic","authors":"M. Kontsevich","doi":"10.1007/S11537-009-0852-X","DOIUrl":"https://doi.org/10.1007/S11537-009-0852-X","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2009-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11537-009-0852-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53184633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-03-28DOI: 10.1007/S11537-009-0855-7
J. Bourguignon
{"title":"Ricci curvature and measures","authors":"J. Bourguignon","doi":"10.1007/S11537-009-0855-7","DOIUrl":"https://doi.org/10.1007/S11537-009-0855-7","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2009-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11537-009-0855-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53185143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2009-01-14DOI: 10.1007/S11537-009-0833-0
H. Ooguri
{"title":"Geometry as seen by string theory","authors":"H. Ooguri","doi":"10.1007/S11537-009-0833-0","DOIUrl":"https://doi.org/10.1007/S11537-009-0833-0","url":null,"abstract":"","PeriodicalId":54908,"journal":{"name":"Japanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2009-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S11537-009-0833-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"53184389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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