2012 Fiscal Year Final Research Report
Study of the basic aspects of quantum theory
| Project/Area Number |
22540401
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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 |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The Institute of Physical and Chemical Research (2012)
Nihon University (2010-2011) |
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Principal Investigator |
FUJIKAWA Kazuo 独立行政法人理化学研究所, 橋本数理物理学研究室, 客員研究員 (30013436)
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| Co-Investigator(Kenkyū-buntansha) |
DEGUCHI Shinichi 日本大学, 理工学部, 教授 (50207502)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 不確定性関係 / 不偏測定 / エンタングルメント / 量子異常(アノマリー) / 幾何学的位相 / CPT対称性 / 二次発散 |
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| Research Abstract |
The higher-derivative regularization is shown to give the same result as the dimensional regularization for quadratic divergences. The probability interpretation of uncertainty relation is pursued after refining the treatment of periodic boundary conditions. The hidden-variables model of Bell was excluded in analyzing quantum discord. In connection with recent experiment, a universally valid Heisenberg uncertainty relation was proposed. A Lorentz invariant CPT violating model which exhibits the particle-antiparticle mass splitting was proposed.
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