| 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 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | University of Tsukuba |
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Principal Investigator |
ARIKAWA Mitsuhiro University of Tsukuba, 計算科学研究センター, 研究員 (60402814)
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| Project Period (FY) |
2009 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 相関関数 / 素励起描像 / ベーテ仮説 / ハイゼンベルグ模型 / Gutzwiller波動関数 / ストリング状態 / 動的相関関数 / 統計性 / 可解模型 / Bethe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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