| Project/Area Number |
14F04718
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Single-year Grants |
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| Section | 外国 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
押川 正毅 東京大学, 物性研究所, 教授 (50262043)
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| Co-Investigator(Kenkyū-buntansha) |
QUACH JAMES 東京大学, 物性研究所, 外国人特別研究員
QUACH James 東京大学, 物性研究所, 外国人特別研究員
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| Project Period (FY) |
2014-04-25 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 2015: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2014: ¥1,200,000 (Direct Cost: ¥1,200,000)
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| Keywords | 重力波 / デイラックフェルミオン / 一般相対性理論 / Foldy-Wouthuysen変換 / Casimir effect / Bose-Einstein condensate / ultracold atoms |
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| Outline of Annual Research Achievements |
Gravitational waves (GWs) are one of the major predictions of general relativity that was finally observed directly this year with light interferometry technique by LIGO collaboration. More recently matter-wave interferometry has been proposed as a potentially more sensitive way to detect GWs because of the increased gravitational interaction from the massive particles. In light of this, it is important to understand the quantum interaction of massive particles with GWs in the non-relativistic limit.
Goncalves et al. were the first to investigate the Dirac Hamiltonian in the presence of an electromagnetic (EM) gauge field and GWs, in the non-relativistic limit. In their work, they came to the intriguing conclusion that in the presence of the GW, the particle's spin may precess even in the absence of a magnetic field, which they propose could be the basis for a new type of GW detector. We showed that this effect is not physical as it is the result of a gauge-variant term that was an artefact of a flawed application of the exact Foldy-Wouthuysen transformation. Indeed, we derived the correct non-relativistic limit of the generalised Dirac Hamiltonian in the presence of a gravitational wave, using both the exact and standard Foldy-Wouthuysen transformation. We show that both transformations consistently produce a Hamiltonian where all terms are gauge-invariant. Unfortunately however, this also implies that the novel spin-precession effect does not exist.
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| Research Progress Status |
27年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
27年度が最終年度であるため、記入しない。
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Report
(2 results)
Research Products
(9 results)
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[Presentation] Gravitational Casimir Effect2015
Author(s)
James Quach
Organizer
Renormalization in Background Independent Theories: Foundations and Techniques
Place of Presentation
Perimeter Institute, Waterloo, ON (Canada)
Year and Date
2015-09-28
Related Report
Int'l Joint Research / Invited
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