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Origin and mechanisms emerging glass-like properties in local-symmetry broken materials

Research Project

Project/Area Number 22540404
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionHokkaido University

Principal Investigator

NAKAYAMA Tsuneyoshi  北海道大学, -, 名誉教授 (80002236)

Co-Investigator(Kenkyū-buntansha) KANESHITA Eiji  仙台高等専門学校, 総合科学系, 准教授 (60548212)
Co-Investigator(Renkei-kenkyūsha) ARAI Masatoshi  日本原子力開発機構, J-PARCセンター物質 生命科学デビジョン, 研究主席 (30175955)
Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords不規則系 / 対称性の破れ / 構造ガラス / 熱電変換物質 / クラスレート / THzダイナミクス / ガラス / ボソンピーク / THZダイナミックス / 内包系物質 / THzダイナミックス
Research Abstract

This 4 years research project aims to theoretically elucidate the origin and mechanisms of glass-like behaviors observed for local-symmetry broken materials. In the first 2 years, we investigated the microscopic origin emerging glass-like properties in these materials. We introduced long-range interactions between symmetry-broken ions in addition to local anharmonic potential. The importance of these interactions to explain glass-like behaviors became clear. In the latter 2 years, we calculated phonon dispersion relations in the THz frequency range for local symmetry broken materials. It became possible to compare it with the experimental results in terms of coherent inelastic neutron scattering for local-symmetry broken materials .

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (62 results)

All 2013 2012 2011 2010

All Journal Article (32 results) (of which Peer Reviewed: 28 results) Presentation (26 results) (of which Invited: 4 results) Book (4 results)

  • [Journal Article] Spin dynamics and resonant inelastic x-ray scattering in chromium with spin-density wave order2013

    • Author(s)
      K. Sugimoto, Z. Li, E. Kaneshita, et al.
    • Journal Title

      Physical Review B

      Volume: Vol. 87, No. 13

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optical conductivity of antiferromagnetic metallic chromium : Mean-field calculation for the multi-orbital Hubbard model2013

    • Author(s)
      K. Sugimoto, T. Tohyama, E. Kaneshita, K. Tsutsui
    • Journal Title

      J. Korean Phys. Soc.

      Volume: 63 Pages: 632-635

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optical conductivity of antiferromagnetic metallic chromium : Mean-field calculation for the multi-orbital Hubbard model2013

    • Author(s)
      Koudai Sugimoto, Takami Tohyama, Eiji Kaneshita, Kenji Tsutsui
    • Journal Title

      Journal of the Korean Physical Society

      Volume: 63 Issue: 3 Pages: 632-635

    • DOI

      10.3938/jkps.63.632

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Emergence of glass-like THz frequency libration modes in type-I clathrates : Theory2012

    • Author(s)
      T. Nakayama and E. Kaneshita
    • Journal Title

      Journal of Physics and Chemistry of Solids

      Volume: Vol. 73 Pages: 1518-1520

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Two-dimensional antiferromagnetic fractons in Rb2Mn0.598Mg0.402F42012

    • Author(s)
      S. Itoh, T. Nakayama and M. A. Adams
    • Journal Title

      Journal of Physics : Conference Series

      Volume: Vol. 400

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of resonant inelastic X-ray scattering in stripe-ordered nickelate2012

    • Author(s)
      T. Nomura; E. Kaneshita
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: Vol. 81

    • NAID

      40019151531

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] 鉄系超伝導体の磁気秩序状態における電子励起の軌道特性2012

    • Author(s)
      兼下英司,遠山貴己
    • Journal Title

      固体物理

      Volume: Vol.47 Pages: 401-409

    • NAID

      40019451027

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Emergence of glass-like THz frequency libration modes in type-I clathrates: Theory2012

    • Author(s)
      T. Nakayama, E. Kaneshita
    • Journal Title

      Journal of Physics and Chemistry of Solids

      Volume: 73 Issue: 12 Pages: 1518-1520

    • DOI

      10.1016/j.jpcs.2011.10.047

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-dimensional Antiferromagnetic Fractons in Rb2Mn0.598Mg0.402F42012

    • Author(s)
      S. Itoh, T. Nakayama, M. A. Adams
    • Journal Title

      Journal of Physics: Conf. Ser.

      Volume: 400 Issue: 3 Pages: 032030-032030

    • DOI

      10.1088/1742-6596/400/3/032030

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of Resonant Inelastic X-ray Scattering in Stripe-Ordered Nickelate2012

    • Author(s)
      T. Nomura, E. Kaneshita
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 81 Issue: 2 Pages: 0247071-11

    • DOI

      10.1143/jpsj.81.024707

    • NAID

      40019151531

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The anisotropy of optical conductivity derived from the energy splitting in iron arsenides2012

    • Author(s)
      K. Sugimoto, E. Kaneshita, T. Tohyama
    • Journal Title

      Journal of Physics : Conference Series

      Volume: 400 Issue: 2 Pages: 22113-22113

    • DOI

      10.1088/1742-6596/400/2/022113

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 鉄系超伝導体の磁気秩序状態における電子励起の軌道特性2012

    • Author(s)
      兼下英司, 遠山貴己
    • Journal Title

      固体物理

      Volume: 47 Pages: 401-409

    • NAID

      40019451027

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Significance of off-center rattling for emerging low-lying THz modes in Type-I clathrates2011

    • Author(s)
      T. Nakayama and E. Kaneshita
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: Vol. 80

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Antiferomagnetic fractons in dilute Heisenberg system RbMn_<0.>4Mg_<0.>6F_3 and RbMn_<0.4>Mg_<0.>6F_3S2011

    • Author(s)
      S. Itoh, T. Nakayama, and M. A. Mark
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: Vol. 80

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spin and orbital characters of excitations in iron arsenide superconductors revealed by simulated resonant inelastic x-ray scattering2011

    • Author(s)
      E. Kaneshita, K. Tsutsui, and T. Tohyama
    • Journal Title

      Physical Review

      Volume: B 84

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Origin of in-plane anisotropy in optical conductivity for antiferromagnetic metallic phase of iron pnictides2011

    • Author(s)
      K. Sugimoto, E. Kaneshita, and T. Tohyama
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: Vol. 80

    • NAID

      40018753702

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] パーコレーション磁性体における反強磁性フラクトン(in Japanese)2011

    • Author(s)
      伊藤晋一、中山恒義
    • Journal Title

      Neutron Science

      Volume: vol.21 Pages: 234-238

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Significance of Off-center Rattling for Emerging Low-lying THz Modes in Type-I Clathrates2011

    • Author(s)
      T.Nakayama、E.Kaneshita
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 80 Issue: 10 Pages: 104604-7

    • DOI

      10.1143/jpsj.80.104604

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Emergence of Glass-like THz Frequency libration Modes in Type-I Clathrates : Theory2011

    • Author(s)
      T.Nakayama、E.Kaneshita
    • Journal Title

      Journal of Physics and Chemistry of Solids

      Volume: 10 Pages: 47-52

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spin and orbital characters of excitations in iron arsenide superconductors revealed by simulated resonant inelastic x-ray scattering2011

    • Author(s)
      E.Kaneshita
    • Journal Title

      Phys.Rev.B

      Volume: 84 Issue: 2 Pages: 315-318

    • DOI

      10.1103/physrevb.84.020511

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Origin of In-Plane Anisotropy in Optical Conductivity for Antiferromagnetic Metallic Phase of Iron Pnictides2011

    • Author(s)
      K.Sugimoto, E.Kaneshita, T.Tohyama
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 80 Issue: 3 Pages: 033701-5

    • DOI

      10.1143/jpsj.80.033706

    • NAID

      40018753702

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Antiferomagnetic Fractons in Dilute Heisenberg System RbMn0.4Mg0.6F3 and Rb2Mn0.598Mg0.402F42011

    • Author(s)
      S.Itoh, T.Nakayama, Mark.A.Adams
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 80 Issue: 10 Pages: 1047041-7

    • DOI

      10.1143/jpsj.80.104704

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] パーコレーション磁性体における反強磁性フラクトン2011

    • Author(s)
      伊藤晋一、中山恒義
    • Journal Title

      日本中性子科学会誌「波紋」

      Volume: 21 Pages: 234-238

    • NAID

      130007516741

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Significance of Off-Center Rattling on Low-lying THz Vibrations in Clathrates2011

    • Author(s)
      T.Nakayama, E.Kaneshita
    • Journal Title

      arXiv:1103.1441

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Origin of In-Plane Anisotropy in Optical Conductivity for Antiferromagnetic Metallic Phase of Iron Pnictides2011

    • Author(s)
      K.Sugimoto, E.Kaneshita, T. Tohyama
    • Journal Title

      J.Phys.Soc.Jpn.(2011)

      Volume: 80

    • NAID

      40018753702

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Glass-li ke behaviors of clathrate compounds as thermoelectric materials2010

    • Author(s)
      T. Nakayama, E. Kaneshita
    • Journal Title

      豊田理化学研究所研究報告書

      Volume: Vol.63 Pages: 63-69

    • Related Report
      2013 Final Research Report
  • [Journal Article] Spin and charge dynamics ruled by antiferroma gnetic order in iron-pnictide superc onductors2010

    • Author(s)
      E. Kaneshita, T. Tohyama
    • Journal Title

      Physical Review B

      Volume: Vol. 82

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Topological and transport p roperties of Dirac fermions antiferr omagnetic metallic phase of iron-bas ed supercoductor2010

    • Author(s)
      T. Morinari, E. Kaneshita, and T. Tohyama
    • Journal Title

      Physical Review L etters

      Volume: Vol.105

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Glass-like behaviors of clathrate compounds as thermoelectric materials and their physical origin2010

    • Author(s)
      T. Nakayama, E. Kaneshita
    • Journal Title

      豊田理化学研究所研究報告書

      Volume: 63 Pages: 63-69

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Spin and charge dynamics ruled by antiferromagnetic order in ironpnictide superconductors2010

    • Author(s)
      E.Kaneshita, T.Tohyama
    • Journal Title

      Phys.Rev.B(2010)

      Volume: 82

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Topological and Transport Properties of Dirac Fermions in Antiferromagnetic Metallic Phase of Iron-Based Superconductor2010

    • Author(s)
      T.Morinari, E.Kaneshita, T.Tohyama
    • Journal Title

      Phys.Rev.Lett.

      Volume: 105

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fermi surface topology effect on interlayer magnetoresistance with in-plane magnetic field in layered multiband system : Application to FeAs-based superconductors2010

    • Author(s)
      T.Morinari, E.Kaneshita, T.Tohyama
    • Journal Title

      Physica C

      Volume: 470

    • NAID

      120001887645

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] Type-I clathrate compounds as phonon-glass thermoelectric materials2013

    • Author(s)
      T. Nakayama
    • Organizer
      7^<th> International Discussion meeting on relaxations in complex systems
    • Place of Presentation
      Universitat Politecnica de Catalunya, Barcelona, Spain
    • Year and Date
      2013-07-22
    • Related Report
      2013 Final Research Report
  • [Presentation] Complex disordered systems; from quantum glasses till thermoelectric clathrates2013

    • Author(s)
      T. Nakayama
    • Organizer
      Martin Gutzwiller Fellowship Award Lecture, Max-Planck Institute for the Physics of Complex Systems
    • Place of Presentation
      Germany, Dresden
    • Year and Date
      2013-05-29
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Complex disordered systems; from quantum glasses till thermoelectric clathrates2013

    • Author(s)
      T. Nakayama,
    • Organizer
      Martin Gutzwiller Fellowship Award Lecture
    • Place of Presentation
      Max Plank Institute for the Physics of Complex Systems (Dresden, Germany)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 鉄系超伝導体母物質のストライプ反強磁性状態における電子励起スペクトル2013

    • Author(s)
      兼下英司,筒井健二,遠山貴己
    • Organizer
      日本物理学会 第68回年次大会 2013年3月29日 広島大学
    • Place of Presentation
      広島大学 (広島)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Disorder guest ions in order cages and efficient thermoelectric materials2012

    • Author(s)
      T. Nakayama
    • Organizer
      Disorder in Order (A meeting honoring the scientific achievements of S R Elliott)
    • Place of Presentation
      Cambridge, England
    • Year and Date
      2012-09-20
    • Related Report
      2013 Final Research Report
    • Invited
  • [Presentation] Disorder guest ions in order cages and efficient thermoelectric materials2012

    • Author(s)
      T. Nakayama
    • Organizer
      Disorder in Order: A meeting honoring the scientific achievements of S R Elliott
    • Place of Presentation
      Cambridge University (UK)
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Spin and Orbital Characters of Excitations in Iron Arsenides Revealed by Simulated Fe L-Edge RIXS2011

    • Author(s)
      E. Kaneshita,K. Tsutsui,T. Tohyama
    • Organizer
      International Conference of New Science Created by Materials with Nano-Spaces
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2011-11-26
    • Related Report
      2013 Final Research Report
  • [Presentation] Plateau thermal conductivities in thermoelectric clathrates : Interplay with low-lying optical modes2011

    • Author(s)
      T.Nakayama, E.Kaneshita
    • Organizer
      International Conference of New Science Created by Materials with Nano Spaces
    • Place of Presentation
      東北大学、WPI会議室,仙台市
    • Year and Date
      2011-11-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Spin and Orbital Characters of Excitations in Iron Arsenides Revealed by Simulated Fe L-Edge RIXS2011

    • Author(s)
      3.E.Kaneshita, K.Tsutsui, T.Tohyama
    • Organizer
      International Conference of New Science Created by Materials with Nano Spaces
    • Place of Presentation
      東北大学、WPI会議室,仙台市
    • Year and Date
      2011-11-24
    • Related Report
      2011 Annual Research Report
  • [Presentation] Plateau thermal conductivities in thermoelectric clathrates : Interplay with low-lying optical modes2011

    • Author(s)
      T. Nakayama, E. Kaneshita
    • Organizer
      New Science created by Materials with Nano Spaces : From Fundamentals to Applications
    • Place of Presentation
      Sendai
    • Year and Date
      2011-11-23
    • Related Report
      2013 Final Research Report
  • [Presentation] Two-dimensional Antiferomagnetic Fractons in Rb_2Mn_<0.598>Mg_<0.402>F_42011

    • Author(s)
      S. Itoh, T. Nakayama, and M. A. Adams
    • Organizer
      26^<th> International LT26Conference on Low Temperature Physics
    • Place of Presentation
      Beijing, PR China
    • Year and Date
      2011-08-30
    • Related Report
      2013 Final Research Report
  • [Presentation] Two-dimensional Antiferomagnetic Fractons in Rb2Mn0.598Mg0.402F42011

    • Author(s)
      4.S.Itoh, T.Nakayama, Mark.A.Adams
    • Organizer
      26th International Conference on low temperature physics (LT26)
    • Place of Presentation
      CAS, Beijing, China
    • Year and Date
      2011-08-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] Emergence of Glass-like THz Frequency libration Modes in Type-1 Clathrates : Theory2011

    • Author(s)
      T.Nakayama, E.Kaneshita
    • Organizer
      16th International Conference on Intercalation Compounds
    • Place of Presentation
      ホテルウツセキ、セック、チェコ共和国(招待講演)
    • Year and Date
      2011-05-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] Emergence of glass-like THz frequency libration modes in type-I clathrates : Theory2011

    • Author(s)
      T. Nakayama and E. Kaneshita
    • Organizer
      16^<th> International Conference on Intercalation Compounds
    • Place of Presentation
      Sec-Ustupky, Czech Republic
    • Year and Date
      2011-05-15
    • Related Report
      2013 Final Research Report
  • [Presentation] Spin excitations in antiferromagnetic metallic phase of iron pnictides analyzed with a five-band itinerant model2011

    • Author(s)
      E.Kaneshita, T.Tohyama
    • Organizer
      American Physical Society
    • Place of Presentation
      Convention Center、Dallas, USA
    • Year and Date
      2011-03-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] Spin excitations in antiferromagnetic metallic phase of iron pnictides analyzed with a five-band itinerant model2011

    • Author(s)
      E. Kaneshita and T. Tohyama
    • Organizer
      American Physical Society, March Meeting
    • Place of Presentation
      Dallas Convention Center, Dallas, USA
    • Year and Date
      2011-03-23
    • Related Report
      2013 Final Research Report
  • [Presentation] 内包クラスレートが示す特異なTHzダイナミックスの起源2011

    • Author(s)
      中山恒義, 兼下英司
    • Organizer
      特定領域研究「配列ナノ空間を利用した新物質科学ユビキタス元素戦略」,第7回領域会議
    • Place of Presentation
      大阪大学、豊中
    • Related Report
      2013 Final Research Report
  • [Presentation] 熱電変換物質クラスレートが示すガラス的性質の起源2010

    • Author(s)
      中山恒義, 兼下英司
    • Organizer
      ガラス物理研究会
    • Place of Presentation
      東京大学物性研究所,柏
    • Year and Date
      2010-11-29
    • Related Report
      2013 Final Research Report
  • [Presentation] Symmetry-broken clathrates as thermoelectric materials : Why glass-like though crystalline?2010

    • Author(s)
      T. Nakayama
    • Organizer
      Rensselaer Polytechnic Institute
    • Place of Presentation
      NY, USA
    • Year and Date
      2010-10-10
    • Related Report
      2013 Final Research Report
  • [Presentation] 鉄砒素系超伝導体の磁気秩序状態における電荷・磁気励起2010

    • Author(s)
      兼下英司,筒井健二,遠山貴己
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学
    • Year and Date
      2010-09-26
    • Related Report
      2013 Final Research Report
  • [Presentation] Charge and spin excitations in iron pnictides2010

    • Author(s)
      Eiji Kaneshita, et al
    • Organizer
      ICC-IMR workshop : Recent Progress on Spectroscopies and High-Tc Superconductors
    • Place of Presentation
      東北大学
    • Year and Date
      2010-08-09
    • Related Report
      2013 Final Research Report
  • [Presentation] オフセンター内包イオン間の長距離相互作用が誘起するカゴ状クラスレートの特異な物性2010

    • Author(s)
      中山恒義, 兼下英司
    • Organizer
      特定領域研究「配列ナノ空間を利用した新物質科学ユビキタス元素戦略」第6回領域会議
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-05-28
    • Related Report
      2013 Final Research Report
  • [Presentation] オフセンター内包イオン間の長距離相互作用が誘起するカゴ状クラスレートの特異な物性2010

    • Author(s)
      中山恒義, 兼下英司
    • Organizer
      特定領域研究発表会
    • Place of Presentation
      名古屋大学、名古屋
    • Year and Date
      2010-05-28
    • Related Report
      2010 Annual Research Report
  • [Presentation] 内包化合物クラスレートの理論的諸問題2010

    • Author(s)
      中山恒義
    • Organizer
      J-PARC中性子非弾性散乱プロジェクト検討会、日本原子力研究開発機構
    • Place of Presentation
      東海村、茨城県
    • Year and Date
      2010-05-20
    • Related Report
      2013 Final Research Report
  • [Presentation] 内包化合物クラスレートにおけるテラヘルツ・モードの発現とヒッグス機構2010

    • Author(s)
      中山恒義
    • Organizer
      豊田理化学研究所研究発表会
    • Place of Presentation
      豊田理化学研究所、名古屋
    • Year and Date
      2010-05-11
    • Related Report
      2013 Final Research Report
  • [Presentation] 内包化合物クラスレートにおけるテラヘルツ・モードの発現とヒッグス機構2010

    • Author(s)
      中山恒義
    • Organizer
      豊田理化学研究所研究発表会
    • Place of Presentation
      豊田理化学研究所,名古屋 招待講演
    • Year and Date
      2010-05-11
    • Related Report
      2010 Annual Research Report
  • [Book] 電磁気学I2012

    • Author(s)
      中山恒義
    • Publisher
      丸善出版株式会社
    • Related Report
      2013 Final Research Report
  • [Book] 電磁気学II2012

    • Author(s)
      中山恒義
    • Publisher
      丸善出版株式会社
    • Related Report
      2013 Final Research Report
  • [Book] Higher Mathe matics for Physics and Engineering2010

    • Author(s)
      H. Shima, T. Nakayama
    • Publisher
      Springer-Verlag(ISBN978-3-540-8786 3-6)
    • Related Report
      2013 Final Research Report
  • [Book] Higher Mathematics for Physics and Engineering2010

    • Author(s)
      H.Shima, T.Nakayama
    • Total Pages
      750
    • Publisher
      Springer-Verlag, Berlin
    • Related Report
      2010 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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