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SHIMADA SHINICHI  島田 伸一

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… Alternative Names

島田 伸一  シマダ シンイチ

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Researcher Number 40196481
Other IDs
Affiliation (based on the past Project Information) *help 2010 – 2012: 摂南大学, 理工学部, 准教授
2007 – 2009: Setsunan University, Departmrnt of Mathematics and Physics, Associate Professor
2007: 摂南大学, 工学部, 教授
1997 – 2006: Setsunan University, Depertment of Mathematics, Associate Professor, 工学部, 助教授
1996: 福井工業高等専門学校, 一般科目教室, 助教授
1993: 福井工業高等専門学校, 一般科目教室, 助教授
Review Section/Research Field
Principal Investigator
解析学
Except Principal Investigator
Global analysis / Global analysis / Basic analysis / 解析学 / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
散乱振幅 / Schrodinger作用素 / Scattering Amplitude / Interference / Wave Function / Wave Operator / Scattering / Schrodinger Operator / 自己共役拡張 / 散乱 … More / 干渉 / 波動関数 / 波動作用素 / 散乱理論 / Schr o dinger作用素 / リゾルベント収束 … More
Except Principal Investigator
Renormalization Group / Pauli-Fierz Model / O(N) Spin Model / Scaling / Ground State / Recursion Formula / 乱流 / シュレディンガー作用素 / アハラノフ・ボーム効果 / 散乱理論 / Anderson Localization / スペクトル解析 / QED / スペクトル散乱理論 / 基底状態 / Block Spin Transformation / Auxiliary Field / Pouli-Fierz Model / O(N)Spin Model / point interaction / turbulence / Aharonov-Bohm効果 / Navier-Stokes方程式 / random walks / block spin変換 / scattering theory / アンダーソン局在 / 流体 / 非線形方程式 / 臨界現象 / 相転移 / 繰りこみ群 / スペクトル理論 / Pauli-Fiertz Model / Para Statistics / fluid mechanics / Non-linear PDE / Critical Phenomena / Phase Transition / 非相対論的量子電気力学 / ボースアインシュタイン凝縮 / ブロックスピン変換 / 古典量子電気力学 / パラ統計 / 経路空間上のギブス測度 / 有効質量 / くりこみ群 / パウリ・フィールツ模型 / 埋蔵固有値 / レヴィー過程 / ファインマン・カッツの公式 / 汎関数積分 / 場の量子論 / para-statics / point process / Renormalization / Ground States / Para-Statics / Ground Stotes / Para-Stotics / Point Process / Renirmalization Group / Multiplicity / Carleman operators / Number operators / Mass renormalization / Spectral scattring theory / Asymptotic fields / Ground states / くりこみ / ギブス測度 / 赤外・紫外発散 / ハシルトニアン / 重複度 / Carlema作用素 / 個数作用素 / 質量くりこみ / 漸近場 / resolvent / Dyson-wilson System / Hierarchical Model / Flow / Ο(N) Spin Model / Degeneracy / Resolvent / Point Interaction / Recursion Formura / Renormatization Group / Kolmogorov law / Hopf Bifurcation / Couette Flow / Navier-Stokes Equation / Aharanov-Bohm効果 / Kraichnan model / intermittency / Kolmogorov理論 / polymer展開 / connectivity constant / self-avoiding walk / Pavli-Fierz模型 / Pauli-Fierz模型 / Hopf bifurcation / O(N)スピン模型 / スケーリング / 漸化式 / くり込み群 / Aharonov-Bohm effect / scattering by magnetic field / resolvent convergence / scattering at low energy / magnetic Schrodinger operator / 散乱振幅 / アハロノフ・ボウム効果 / 磁場散乱 / 磁場による散乱 / デルタ型磁場 / レゾルベント収束 / 磁場をもつシュレディンガー作用素 / Aharonov - Bohm effect / Navier - Stokes eqs. / block spin transformation / classical spin model / Navier-Srokes方程式 / Aharonov-Bohm 効果 / block spin 変換 / Kolmogorov 則 / 古典スピン系 / Wavefunction / Density of States / Aharonov-Bohm Effect / Selfadjoint Extention / Magnetic Field / Spectral Structure / Periodic Electromagnetic Field / Schrodinger Operator / 周期的ポテンシャル / 波動関数 / 状態密度関数 / 自己共役拡張 / 磁場 / スペクトル構造 / 周期的電磁場 / シュレデインガー作用素 / relativistic Schrodinger equation / relativistic quantum mechanics / inverse scattering theory / scattering operator / Dirac equation / 相対論的不変性 / 相対論的シュレーディンガー方程式 / 相対論的量子力学 / 逆散乱問題 / 散乱作用素 / ディラック方程式 / 周期解分岐 / 定常解分岐 / 自由表面流 / 定常・周期解分岐 / 圧縮性熱対流 / ベナール・マランゴニ対流 / ナビエ・ストークス方程式 / ソレノイド / アハラノフーボーム効果 / クオーク幽閉 / ベルナール流 / パターシ形成 / シグマ模型 / リッチフロウ / ナヴィエ・ストークス方程式 / スピンモデル / リッチ・フロウ / ポワソン・ランダム / スペクトル / ディラック作用素 / パウリ作用素 / 特異磁場 / 数理物理 / 関数方程式論 / 関数解析学 Less
  • Research Projects

    (15 results)
  • Research Products

    (4 results)
  • Co-Researchers

    (26 People)
  •  Bifurcation and structure of solutions for fluid dynamical systems

    • Principal Investigator
      TERAMOTO Yoshiaki
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Setsunan University
  •  Mathematical Study of Renormalization Groups and applications to Dynamical System

    • Principal Investigator
      ITO KeiichiR.
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Setsunan University
  •  Study of the spectrum of the Pauli and Dirac operators with singular magnetic field

    • Principal Investigator
      IWATSUKA Akira
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto Institute of Technology
  •  量子場と結合したシュレディンガー作用素のスペクトルと有効質量の研究

    • Principal Investigator
      廣島 文生
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  Mathematical Foundation of the Renormalization Group Methods and its Applications in Mathematical Sciences

    • Principal Investigator
      ITO Keeichi
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Setsunan University
  •  Nonperturbative analysis of charged-particle-system interacting with a quantum field

    • Principal Investigator
      HIROSHIMA Fumio
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Setsunan University
  •  MATHEMATICAL STUDY OF RENORMALIZATION GROUP AND APPLICATIONS

    • Principal Investigator
      R.ITO Keiichi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SETSUNAN UNIVERSITY
  •  MATHEMATICAL FOUNDATIONS OF RENORMALIZATION GROUP AND THEIR APPLICATIONS TO MATHEMATICAL SCIENCES

    • Principal Investigator
      ITO Keiichi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SETSUNAN UNIVERSITY
  •  Spectral Theory for Schrodinger Operators with Magnetic Fields and its Application

    • Principal Investigator
      TAMURA Hideo
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Global analysis
    • Research Institution
      Okayama University
  •  DEVELOPEMENT OF RENORMALIZATION GROUP METHODS AS TOOLS OF ANALYSIS AND THEIR APPLICATIONS TO DYNAMICAL SYSTEMS

    • Principal Investigator
      ITO Keiichi r.
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SETSUNAN UNIVERSITY
  •  Studies on Spectral Structure of Shrodinger Operators with Electromagnetic Fields

    • Principal Investigator
      IWATSUKA Akira
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      KYOTO INSTITUTE OF TECHNOLOGY
  •  STUDY OF DIFFERENTIAL EQUATIONS BY RENORMALIZATION

    • Principal Investigator
      IKEBE Teruo
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      SETSUNAN UNIVERSITY
  •  Inverse scattering problems for Dirac equations

    • Principal Investigator
      ITO Hiroshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Ehime University
      Kyoto University
  •  Interference and Surface Wave in Quantum ScatteringPrincipal Investigator

    • Principal Investigator
      SHIMADA Shin-ich
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      SETSUNAN UNIVERSITY
      Fukui National College of Technology
  •  Schrodinger作用素のスペクトル・散乱理論の研究Principal Investigator

    • Principal Investigator
      島田 伸一
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Fukui National College of Technology

All 2009 2008 2003

All Journal Article Presentation

  • [Journal Article] Norm resolvent convergence to Schroedinger operators with infinitely thin toroidal magnetic field2008

    • Author(s)
      Shin-ichi Shimada, Akira Iwatsuka, Takuya Mine
    • Journal Title

      Contemporary Mathematics AMS, 500

      Pages: 139-151

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540221
  • [Journal Article] Resolvent Convergence of Sphere Interactions to Point Interactions2003

    • Author(s)
      S.Shimada
    • Journal Title

      J.Math.Phys. 44

      Pages: 990-145

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540222
  • [Presentation] Norm resolvent convergence to Schroedinger operators with singular magnetic fields supported by a circle in R32009

    • Author(s)
      Akira IWATSUKA, Takuya MINE, Shin-ichi SHIMADA
    • Organizer
      Schroedinger Equations and Related Topics
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2009-01-06
    • Data Source
      KAKENHI-PROJECT-18540215
  • [Presentation] Norm resolvent convergence to Schr\"{o}dinger operators with infinitesimally thin toroidal magnetic fields2008

    • Author(s)
      Akira IWATSUKA, Takuya MINE, Shin-ichi SHIMADA
    • Organizer
      Spectral and Scattering Theory for Quantum Magnetic system
    • Place of Presentation
      CIRM, Marseille, France
    • Year and Date
      2008-07-08
    • Data Source
      KAKENHI-PROJECT-18540215
  • 1.  ITO KeiichiR. (50268489)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 2.  TERAMOTO Yoshiaki (40237011)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 3.  HIROSHIMA Humio (00330358)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 4.  IWATSUKA Akira (40184890)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 2 results
  • 5.  HIROKAWA Masao (70282788)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  OKAJI TAKASHI (20160426)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  WATARAI Seizou (20131500)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  ONO Hiroaki (50100780)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  TAMURA HIDEO (30022734)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  ITO Hiroshi (90243005)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  IKEBE Teruo (00025280)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  MINE TAKUYA (90378597)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 2 results
  • 13.  YAMADA OSANOBU (70066744)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  DOI Shin-ichi (00243006)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  NAKAWAKI Yuuji (60207959)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  TAMURA Hiroshi (80188440)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  NISHIDA Takaki (70026110)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  TSUBOKAWA Takehiro (70236941)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  IGARI Katsujyu (90025487)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  SADAMATSU Takashi (10025439)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  YAGASAKI Tatsuhiko (40191077)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  UCHIYAMA Jun (70025401)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  KATSUDA Atsushi (60183779)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  SAKAI Takashi (70005809)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  NAKABAYASHI Kouzaburo (30207857)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  松井 卓 (50199733)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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