2011 Fiscal Year Final Research Report
Analysis of superlattice structure using spectal analysis of Schroedinger operator
| Project/Area Number |
20540204
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Kanazawa University |
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Principal Investigator |
OGURISU Osamu 金沢大学, 数物科学系, 准教授 (80301191)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 超格子 / シュレーディンガー作用素 / 点相互作用 |
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| Research Abstract |
We studied spectral structure of some mathematical model of superlattice semiconductor device. Our results are as follows ; we studied the number of eigenvalues of Schroedinger operator with point interactions. In one dimensional case, we extended the known results under some restrictions to the ones without the restrictions. In two and three dimensional cases, though any results are unknown, we obtained the new results. We can treat discrete version of these models. We obtained similar results in one dimensional case and proved the dependence on the hyperbolicity in multidimensional cases.
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