Probing crystal defects with scattering theory and non-commutative topology
| Project/Area Number |
26707005
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| Research Category |
Grant-in-Aid for Young Scientists (A)
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| Allocation Type | Partial Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Nagoya University |
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Principal Investigator |
Richard Serge 名古屋大学, 多元数理科学研究科(国際), G30特任教授 (70725241)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥6,500,000 (Direct Cost: ¥5,000,000、Indirect Cost: ¥1,500,000)
Fiscal Year 2016: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2015: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2014: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Keywords | functional analysis / spectral theory / scattering theory / index theorem / wave operators / quantum walk / periodic systems / index theorems |
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| Outline of Final Research Achievements |
Spectral and scattering results for Schroedinger operators with various type of electric or magnetic potentials have been obtained. Our investigations naturally lead to index theorems in scattering theory. Such results correspond to the exhibition of quantities which are stable under perturbations. We have also fully developed the spectral analysis of 1 dimensional quantum walk with anisotropic behavior, and provided a construction for embedding an arbitrary number of eigenvalues in the continuous spectrum of a Schroedinger operator.
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Report
(4 results)
Research Products
(20 results)
