| Budget Amount *help |
¥10,700,000 (Direct Cost: ¥8,900,000、Indirect Cost: ¥1,800,000)
Fiscal Year 2009: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2008: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2007: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2006: ¥2,900,000 (Direct Cost: ¥2,900,000)
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| Research Abstract |
・ Static correlation functions of one dimensional XXX and XXZ models at the ground state Before this project we already calculated 4-th neighbor correlation functions. We invented the generating functions method and could calculate fifth, sixth and seventh correlation functions. Moreover we calculated density submatrix of successive seven cites.
・ Thermodynamics of solvable models
Takahashi proposed new type of thermodynamic Bethe ansatz equation for 1D XXZ model in 2001. Same type of equations are derived for more complicated models like Uimin-Sutherland model and Perk-Schultz model. We give the high temperature expansion of thermodynamic quantities (specific heat, magnetic susceptibility, etc). We treated the thermodynamic problem of one dimensional bosons which has spin.
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