Spectral analysis of a fermion interacting with a bose field
| Project/Area Number |
22740087
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Shinshu University |
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Principal Investigator |
SASAKI Itaru 信州大学, 理学部, 助教 (50558161)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | スペクトル解析 / 関数解析 / 量子場 / 量子電磁力学 / 相対論的シュレディンガー作用素 / スペクトル / 基底状態 / 非可換調和振動子 / Dirac-Maxwellモデル / 束縛条件 / ハミルトニアン / Liouvilleの定理 |
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| Research Abstract |
The spectrum of various quantum systems are analyzed. The main result of this research is the analysis of the quantum system of a charged particle interacting with a quantized radiation field. It is proved that the ionization energy of the system is strictly positive. Moreover, we made a study of the ergodicity and the Liouville's theorem for a quantum dynamics, the uniqueness or crossing property of eigenvalues of the non-commutative harmonic oscillators, spectral analysis of the discrete Schrodinger with rank one perturbation.
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Report
(5 results)
Research Products
(40 results)
