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  • 标题:On representations of finite type
  • 本地全文:下载
  • 作者:Richard V. Kadison
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:1998
  • 卷号:95
  • 期号:23
  • 页码:13392-13396
  • DOI:10.1073/pnas.95.23.13392
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要:Representations of the (infinite) canonical anticommutation relations and the associated operator algebra, the fermion algebra, are studied. A "coupling constant" (in (0,1]) is defined for primary states of "finite type" of that algebra. Primary, faithful states of finite type with arbitrary coupling are constructed and classified. Their physical significance for quantum thermodynamical systems at high temperatures is discussed. The scope of this study is broadened to include a large class of operator algebras sharing some of the structural properties of the fermion algebra.
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