Bethe Ansatz Cluster Expansion Method for Quantum Integrable Particle Systems

• Kato Go

  Department of Physics, Graduate School of Science, University of Tokyo

• Wadati Miki

  Department of Physics, Graduate School of Science, University of Tokyo

抄録

Presented is a method, which we call Bethe ansatz cluster expansion (BACE) method, to investigate statistical mechanics of quantum integrable systems. By use of only the Bethe ansatz equation, n-particle partition functions are exactly calculated. From the expression for the partition function, the n-particle cluster integrals are derived. The results completely agree with those of the thermal Bethe ansatz (TBA) by Yang and Yang. Thus, the BACE method directly proves the validity of the TBA. Partition theory and graphical representation are used to make the presentation simple and transparent.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 73 (5), 1171-1179, 2004

  一般社団法人 日本物理学会

キーワード

• integrable system
• Bethe ansatz
• one-dimension
• thermodynamics

詳細情報

• CRID: 1390001204187644672
• NII論文ID: 110001954831
• NII論文ID: 130004538752
• NII論文ID: 210000104799
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.73.1171
• BIBCODE: 2004JPSJ...73.1171K
• ISSN: 13474073
• ISSN: 00319015
• MRID: 2071803
• NDL書誌ID: 6940739
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6940739
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.73.1171
• 本文言語コード: en
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