| Budget Amount *help |
¥16,640,000 (Direct Cost: ¥12,800,000、Indirect Cost: ¥3,840,000)
Fiscal Year 2019: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2018: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2016: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
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| Outline of Final Research Achievements |
The main contributions of this research project are proof of mathematically rigorous proof on mathematical description of the quantum phenomena. We have obtained varied research results, including (1) we have given a explicit representation of the scattering matrix for Schroedinger equation with long-range perturbation, including model which describes one-body electron, (2) The discrete Schroedinger operators with describe quantum particles moving in crystal lattice, converges to Schroedinger operator with continuous variables as the lattice separation tends to 0.
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