2010 Fiscal Year Final Research Report
Correlation functions and dynamics in quantum integrable model
Project/Area Number |
21740281
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Mathematical physics/Fundamental condensed matter physics
|
Research Institution | University of Tsukuba |
Principal Investigator |
ARIKAWA Mitsuhiro University of Tsukuba, 計算科学研究センター, 研究員 (60402814)
|
Project Period (FY) |
2009 – 2010
|
Keywords | 相関関数 / 素励起描像 / ベーテ仮説 |
Research Abstract |
Using Bethe ansatz method, we clarified the dynamical properties of the integrable model---one dimensional spinless fermion model and Heisenberg model. In particular, the properties in the high-energy region are elucidated from the analysis of the string states. Further, we obtained the particle propagator of the Ruijsenaars-Schneider model and clarified the dynamical properties in terms of the excitations obeying fractional statistics. We show the mutual equivalence among the known several expressions of the density matrix for the Gutzwiller wave function exactly.
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Research Products
(6 results)