| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
The spectral properties of particle systems on curved spacetime were analyzed. Particularly, descretized spaces are viewed as graphs, and the relation between the spectra of many-particle systems and the structure of graphs where the particles move was studied. The zero eigenspace and the Witten index of the particle Hamiltonians were proved to be invariant under a graph transformation. The spectral gap was shown to remain open under the same graph transfomation as above.
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