Faculty Profiles - TANIMURA Shogo

Papers - TANIMURA Shogo

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量子の見えない世界と我々が見ている世界はどのようにつながっているか：100年続く量子力学の論争に，実験科学が新たな光を当てている Invited

谷村省吾、古田彩

日経サイエンス2024年4月号 Vol. 55 ( 4 ) page： 38 - 43 2025.2

量子力学のユニークさ：量子力学は他の物理学理論とどう違うか Invited

谷村省吾

数理科学2025年1月号 Vol. 63 ( 1 ) page： 30 - 37 2024.12

Quantization of constraint system and homological commutation relation of electric and magnetic fluxes

Tanimura S.

Geometry, Integrability and Quantization Vol. 30 page： 87 - 98 2024.12

Publisher：Geometry, Integrability and Quantization

We prove that a commutation relation of the electric flux and the magnetic flux operators is proportional to the crossing number of the surfaces defining the fluxes. To prove it we use Dirac’s prescription for quantization of constraint system and de Rham’s current forms which are geometric generalizations of so-called delta function.

DOI： 10.7546/giq-30-2024-87-98

Scopus

共通言語としての圏論 Invited

谷村省吾

数理科学（サイエンス社） Vol. 62 ( 11 ) page： 7 - 14 2024.11

巻頭言 Invited

谷村省吾

数理科学（サイエンス社） Vol. 62 ( 11 ) page： 5 - 6 2024.11

Homological commutation relation of electric and magnetic fluxes Reviewed Open Access

Shogo Tanimura

Journal of Physics: Conference Series Vol. 2667 ( 1 ) page： 012013 2023.12

Authorship：Corresponding author Language：English Publishing type：Research paper (international conference proceedings) Publisher：Journal of Physics: Conference Series

To give a firm base to argument on quantization of an LC circuit, we derive a commutation relation of electric flux and magnetic flux from quantum electrodynamics. The electric flux is defined by integration of electric field on two-dimensional surface. The magnetic flux is defined by integration of magnetic field surrounded by one-dimensional loop. It is proved that the commutator of the electric flux and the magnetic flux is equal to a crossing number of the loop and the surface. It is also proved that the flux commutator is invariant under gauge transformations and homological deformations. It is also argued that the LC-circuit system can be used as a platform for realizing EPR entanglement.

DOI： 10.1088/1742-6596/2667/1/012013

Open Access

Scopus

Other Link： https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85181081878&origin=inward

巻頭言：微分形式で書く・考える―空間に現れる現象を記述する言語 Invited

谷村省吾

数理科学（サイエンス社） Vol. 61 ( 8 ) page： 5 - 6 2023.8