ISHIHARA Satoshi

FacultyMathematics and Natural Sciences
PositionAssociate Professor
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Last Updated :2019/10/06

Research Activities

Research Areas

  • Physics, Particle/Nuclear/Cosmic ray/Astro physics, particle physics

Misc

  • The educational effect of using numerical solution for high school leaners, 小林卓矢, 石原諭, 日本科学教育学会研究会研究報告(Web), 33, (7) 25‐28(J‐STAGE) - 28,   2019 ,

    「物理は公式を覚えてそれに値を代入する科目」といった誤解が,特に物理を苦手とする生徒たちの間に蔓延しているように思われる.その状況を少しでも改善させるため,世界的に評価の高い教材である「ファインマン物理学」のⅠ章9節にある「逐次計算手法」を高校物理に導入することを提案したい.この手法を導入するメリットは,先に述べた物理を苦手とする生徒への物理の概念形成を促すという効果だけではなく,発展的なことを求める生徒にも効果が期待される.それは逐次計算手法が,公式が通用しない,理想的でない状況における物理現象の説明(加速度が位置や速度により変化する,一般に微分方程式を用いなければ運動解析ができないもののグラフ化)に役立つからである.逐次計算手法の教育的効果について,高校3年生に補習授業「単振動の様子を逐次計算で追う」を実施し,補習前後のアンケート調査(MPEXメリーランド大学物理期待観調査)を分析することで,その有効性を確かめた.

  • 電流と磁場の作用・反作用についての一考察, 石原諭, 日本物理教育学会物理教育研究大会講演予稿集, 35th,   2018 08 11
  • The superspace representation of Super Yang-Mills theory on NCG, Masafumi Shimojo, Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa, Hikaru Sato,   2017 12 25 , A few years ago, we found the supersymmetric(SUSY) counterpart of the spectral triple which specified noncommutative geometry(NCG). Based on "the triple", we considered the SUSY version of the spectral action principle and had derived the action of super Yang--Mills theory, minimal supersymmetric standard model, and supergravity. In these theories, we used vector notation in order to express a chiral or an anti-chiral matter superfield. We also represented the NCG algebra and the Dirac operator by matrices which operated on the space of matter field. In this paper, we represent the triple in the superspace coordinate system $(x^\mu,\theta,\bar{\theta})$. We also introduce "extracting operators" and the new definition of the supertrace so that we can also investigate the square of the Dirac operator on the Minkowskian manifold in the superspace. We finally re-construct the super Yang--Mills theory on NCG in the superspace coordinate to which we are familiar to describe SUSY theories.
  • 電球の特性について, 安楽真人, 安楽真人, 石原諭, 日本物理教育学会物理教育研究大会講演予稿集, 34th,   2017 08 11
  • Supergravity on the noncommutative geometry, Masafumi Shimojo, Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa, Hikaru Sato,   2016 12 31 , Two years ago, we found the supersymmetric counterpart of the spectral triple which specified noncommutative geometry. Based on the triple, we derived gauge vector supermultiplets, Higgs supermultiplets of the minimum supersymmetric standard model and its action. However, unlike the famous theories of Connes and his co-workers, the action does not couple to gravity. In this paper, we obtain the supersymmetric Dirac operator $\mathcal{D}_M^{(SG)}$ on the Riemann-Cartan curved space replacing derivatives which appear in that of the triple with the covariant derivatives of general coordinate transformation. We apply the supersymmetric version of the spectral action principle and investigate the heat kernel expansion on the square of the Dirac operator. As a result, we obtain a new supergravity action which does not include the Ricci curvature tensor.
  • B9b-4 変位電流の作る磁場測定装置の作成 : 変位電流は磁場をつくるか?(原著講演(B9b),大会テーマ「物理教育で大学と小・中・高校教育をどうつなぐか」), 伊藤克己, 石原諭, 物理教育学会年会物理教育研究大会予稿集(Web), 32, (0) 123‐124(J‐STAGE) - 124,   2015
  • A8b-3 静電気と電流の概念接続について(原著講演(A8b),大会テーマ「物理教育で大学と小・中・高校教育をどうつなぐか」), 石原諭, 物理教育学会年会物理教育研究大会予稿集(Web), 32, (0) 35‐36(J‐STAGE) - 36,   2015
  • 変位電流と重ね合わせの原理について, 石原諭, 物理教育, 61, (4) 187 - 189,   2013 12 03 , 本誌の企画「変位電流とは何か」のなかで,変位電流は磁場を作るかについて論議されている。本論文では,電磁場の重ね合わせの原理と電荷保存則にもとづいて,直線電流の分割について解析しる。そして,変位電流は磁場を作らないとする,点電荷つき半直線電流モデルによる論証が,誤りであることを主張する。
  • Minimum Supersymmetric Standard Model on the Noncommutative Geometry, Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa, Hikaru Sato, Masafumi Shimojo,   2013 11 20 , We have obtained the supersymmetric extension of spectral triple which specify a noncommutative geometry(NCG). We assume that the functional space H constitutes of wave functions of matter fields and their superpartners included in the minimum supersymmetric standard model(MSSM). We introduce the internal fluctuations to the Dirac operator on the manifold as well as on the finite space by elements of the algebra A in the triple. So, we obtain not only the vector supermultiplets which meditate SU(3)xSU(2)xU(1)_Y gauge degrees of freedom but also Higgs supermultiplets which appear in MSSM on the same standpoint. Accoding to the supersymmetric version of the spectral action principle, we calculate the square of the fluctuated total Dirac operator and verify that the Seeley-DeWitt coeffients give the correct action of MSSM. We also verify that the relation between coupling constants of $SU(3)$,$SU(2)$ and $U(1)_Y$ is same as that of SU(5) unification theory.
  • Supersymmetric Yang-Mills Theory on the Noncommutative Geometry, Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa, Hikaru Sato, Masafumi Shimojo,   2013 11 19 , Recently, we found the supersymmetric counterpart of the spectral triple. When we restrict the representation space to the fermionic functions of matter fields, the counterpart which we name "the triple" reduces to the original spectral triple which defines noncommutative geometry. We see that the fluctuation to the supersymmetric Dirac operator induced by algebra in the triple generates vector supermultiplet which mediates gauge interaction. Following the supersymmetric version of spectral action principle, we calculate the heat kernel expansion of the square of fluctuated Dirac operator and obtain the correct supersymmetric Yang-Mills action with U(N) gauge symmetry.
  • Supersymmetric Dirac Operator on the Noncommutative Geometry, Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa, Hikaru Sato, Masafumi Shimojo,   2013 11 19 , We extend naturally the spectral triple which define noncommutative geometry (NCG) in order to incorporate supersymmetry and obtain supersymmetric Dirac operator D_M which acts on Minkowskian manifold. Inversely, we can consider the projection which reducts D_M to $\not{D}$, the Dirac operator of the original spectral triple. We investigate properties of the Dirac operator, some of which are inherited from the original Dirac operator. Z/2 grading and real structure are also supersymmetrically extended. Using supersymmetric invariant product, the kinematic terms of chiral and antichiral supermultiplets which represent the wave functions of matter particles and their superpartners are provided by D_M. Considering the fluctuation given by elements of the algebra to the extended Dirac operator, we can expect to obtain vector supermultiplet which includes gauge field and to obtain super Yang-Mills theory according to the supersymmetric version of spectral action principle.
  • Supersymmetric QCD in the Noncommutative Geometry, Satoshi Ishihara, Hironobu Kataoka, Atsuko Matsukawa, Hikaru Sato, Masafumi Shimojo,   2012 01 17 , Introduction of supersymmetry into the noncommutative geometry is investigated. We propose a new Dirac operator which plays the role of the metric over the extended algebra of chiral and antichiral supermultiplets and is invariant under the supersymmetry transformations. Inner automorphisms for the algebra generate vector supermultiplets as an internal fluctuation of the metric. We show that the supersymmetric QCD action for these supermultiplets is correctly given by the spectral action principle.
  • 24aGE-11 Construction of supersymmetric QCD in the Noncommutative Geometry, Ishihara S., Kataoka H., Matsukawa A., Sato H., Shimojo M., Meeting Abstracts of the Physical Society of Japan, 67,   2012
  • Advanced Program for Science and Mathematics Teacher Training at Hyogo University of Teacher Education(Papers from the Kinki Section), ISHIHARA Satoshi, Journal of the Physics Education Society of Japan, 59, (4) 288 - 293,   2011 , 兵庫教育大学における理数系教員養成特別プログラムでは,長期履修制度を活用し,3年間で大学院の教育課程と学部の教育課程を合わせて履修することにより,高度な教職・教科に関する専門的知識を習得し,実践力のある教員を養成することを目指している。2008年度に開始されてから3年が経過し,本年4月に第1期生が修了した。本プログラムが設けられた背景と実施状況や成果について報告し,またこれまでの取組で浮かびあがった課題についても述べる。
  • 空気砲の物理, 石原諭, 佐藤光, 三宅明, 松川敦子, 物理教育, 56, (3) 188 - 192,   2008 09 01
  • Consequences of new interactions in the bosonic sector of the electroweak theory., 萩原薫, 初鹿野力, 石原諭, 日本物理学会講演概要集(分科会), 1994,   1994 09
  • 29p-B-4 Consequences of new interaction in the bosonic sector of the electroweak theory, Hagiwara K, Hatsukano T, Ishihara S, Meeting Abstracts of the Physical Society of Japan, 1994,   1994
  • PROBING NONSTANDARD BOSONIC INTERACTIONS VIA W BOSON PAIR PRODUCTION AT LEPTON COLLIDERS., Nucl. Phys., B496,   1997
  • LOW-ENERGY EFFECTS OF NEW INTERACTIONS IN THE ELECTROWEAK BOSON SECTOR., Phys. Rev., 48, (5) 2182 - 2203,   1993
  • LOW-ENERGY CONSTRAINTS ON ELECTROWEAK THREE GAUGE BOSON COUPLINGS., Phys. Lett., B283,   1992

Research Grants & Projects

  • Study on Electroweak interactions
  • Non-perturbative study on strings

Social Contribution Activities Information

Social Contribution

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