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Theoretical study of quantum dynamics by quantum spin vorticity theory

Research Project

Project/Area Number 16K05653
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Physical chemistry
Research InstitutionKyoto University

Principal Investigator

Tachibana Akitomo  京都大学, 工学研究科, 名誉教授 (40135463)

Co-Investigator(Kenkyū-buntansha) 瀬波 大土  京都大学, 工学研究科, 講師 (40431770)
市川 和秀  京都大学, 工学研究科, 助教 (50401287)
Project Period (FY) 2016-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Keywords量子電磁力学 / アルファ振動子理論 / 電子スピン渦度 / ストレステンソル密度 / スピントルク / アルファ振動子 / α振動子
Outline of Final Research Achievements

The research representative discovered the alpha oscillator algebra which gives the mathematical substructure of elementary particle algebra, and constructed the alpha oscillator theory of elementary particles. Then he formulated time-dependent renormalization in the alpha oscillator theory, gave an asymptotically non-perturbative formulation of quantum electrodynamics (QED), and formulated the dual Cauchy problem and its solution. As a result, the "Mystery of Quantum Mechanics" related to the double slit phenomenon, which has been considered unpredictable for many years, has been resolved. He also discovered that the spin vorticity of electrons contributes to the momentum of electrons, and constructed the quantum spin vorticity theory of electrons. Then, in the quantum spin vorticity theory, he formulated the quantum dynamics based on the geometrical picture of the torque due to the interaction between the electron spin and the photon.

Academic Significance and Societal Importance of the Research Achievements

これら一連の成果は著書「New Aspects of Quantum Electrodynamics」(Springer社、平成29年)及び「新講 量子電磁力学」(㈱サイエンス社、平成29年)にまとめられているが、両書とも世界初の非摂動論的量子電磁力学の量子エネルギー密度理論への応用に関する成書として高い評価を受けている。量子電磁力学に基づく量子エネルギー密度理論は原子レベルの化学反応性の全く新しい局所力学的描像を与える。さらに、量子エネルギー密度理論に基づく量子物性解析の量子ダイナミクス計算プログラム「QEDynamics」及び「QEDalpha」の開発を遂行し、広く一般に公開している。

Report

(4 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (68 results)

All 2019 2018 2017 2016 Other

All Journal Article (10 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 10 results,  Open Access: 1 results,  Acknowledgement Compliant: 5 results) Presentation (47 results) (of which Int'l Joint Research: 13 results,  Invited: 12 results) Book (3 results) Remarks (8 results)

  • [Journal Article] Computational analysis method of local electrical conductive property in nano-size materials2019

    • Author(s)
      Masato Senami, Makoto Nakanishi, and Akitomo Tachibana
    • Journal Title

      AIP advances

      Volume: 9 Issue: 2 Pages: 025106-025106

    • DOI

      10.1063/1.5085360

    • NAID

      120006559415

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Quantum simulation of nanosized materials: 100 years of mystery is solved2018

    • Author(s)
      Tachibana Akitomo
    • Journal Title

      Journal of Molecular Modeling

      Volume: 24 Issue: 9 Pages: 257-257

    • DOI

      10.1007/s00894-018-3795-4

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] New aspects of quantum electrodynamics on electronic structure and dynamics2018

    • Author(s)
      Tachibana Akitomo
    • Journal Title

      Journal of Computational Chemistry

      Volume: 40 Issue: 2 Pages: 316-327

    • DOI

      10.1002/jcc.25600

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Difference of chirality of the electron between enantiomers of H2X22018

    • Author(s)
      Masato Senami, Ken Inada, Kota Soga, Masahiro Fukuda, Akitomo Tachibana
    • Journal Title

      Progress in Theoretical Chemistry and Physics

      Volume: 31 Pages: 95-106

    • DOI

      10.1007/978-3-319-74582-4_6

    • ISBN
      9783319745817, 9783319745824
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Tension density as counter force to the Lorentz force density2016

    • Author(s)
      Hiroo Nozaki, Masato Senami, Kazuhide Ichikawa, and Akitomo Tachibana
    • Journal Title

      Japanese Journal of Applied Physics

      Volume: 55 Issue: 8S2 Pages: 08PE01-08PE01

    • DOI

      10.7567/jjap.55.08pe01

    • NAID

      210000147009

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Local physical quantities for spin based on the relativistic quantum field theory in molecular systems2016

    • Author(s)
      Masahiro Fukuda, Kota Soga, Masato Senami, and Akitomo Tachibana
    • Journal Title

      International Journal of Quantum Chemistry

      Volume: 印刷中 Issue: 12 Pages: 920-931

    • DOI

      10.1002/qua.25102

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Theoretical Study of Lithium Ionic Conductors by Electronic Stress Tensor Density and Electronic Kinetic Energy Density2016

    • Author(s)
      Hiroo Nozaki, Yosuke Fujii, Kazuhide Ichikawa, Taku Watanabe, Yuichi Aihara, Akitomo Tachibana
    • Journal Title

      Journal of Computational Chemistry

      Volume: 37 Issue: 20 Pages: 1924-1934

    • DOI

      10.1002/jcc.24409

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Bonding in doped gallium nanoclusters: Insights from regional DFT2016

    • Author(s)
      David J. Henry, Kazuhide Ichikawa, Hiroo Nozaki, Akitomo Tachibana
    • Journal Title

      Computational Materials Science

      Volume: 115 Pages: 145-153

    • DOI

      10.1016/j.commatsci.2016.01.008

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Computational Method for the Retarded Potential in the Real-Time Simulation of Quantum Electrodynamics2016

    • Author(s)
      Masahiro Fukuda, Kento Naito, Kazuhide Ichikawa, Akitomo Tachibana
    • Journal Title

      International Journal of Quantum Chemistry

      Volume: 印刷中 Issue: 12 Pages: 932-938

    • DOI

      10.1002/qua.25103

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Theoretical Study of Local Electric Conductive Properties by Electronic Tension Density2016

    • Author(s)
      Hiroo Nozaki, Masato Senami, Kazuhide Ichikawa, and Akitomo Tachibana
    • Journal Title

      Material Science Forum

      Volume: 879 Pages: 2473-2478

    • DOI

      10.4028/www.scientific.net/msf.879.2473

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 量子電磁力学(QED)による二重スリット現象ならびに EPR観測における粒子の位置情報の決定論的予言2018

    • Author(s)
      立花明知
    • Organizer
      第21回 理論化学討論会
    • Related Report
      2018 Annual Research Report
  • [Presentation] New complete predictions of the double-slit phenomenon and the Einstein-Podolsky-Rosen (EPR) measurement by Quantum Electrodynamics (QED)2018

    • Author(s)
      Akitomo Tachibana
    • Organizer
      7th JCS Symposium
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Renewed Quantum Simulation ofNano-Size Materials: 100 Years of Mystery Solved!2018

    • Author(s)
      Akitomo Tachibana
    • Organizer
      THERMEC’2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子電磁力学(QED)による二重スリット現象ならびにEPR観測における粒子の位置情報の決定論的予言のためのアルファ振動子理論に基づくコンピューターシミュレーションアルゴリズム2018

    • Author(s)
      立花明知,瀬波大土
    • Organizer
      第12回分子科学討論会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Quantum Mechanics: 100 Years of Mystery Solved!2018

    • Author(s)
      Akitomo Tachibana
    • Organizer
      Quantum International Frontiers 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 電子の電気双極子モーメントの測定における有効電場と分子内部の電子スピントルク2018

    • Author(s)
      高橋 俊貴, 瀬波 大土
    • Organizer
      第21回 理論化学討論会
    • Related Report
      2018 Annual Research Report
  • [Presentation] アルミニウムナノワイヤの電気伝導における化学結合の理論的研究2018

    • Author(s)
      松永 隼治, 瀬波 大土
    • Organizer
      第21回 理論化学討論会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 平面構造の炭素材料におけるスピン渦と電流の比例関係2018

    • Author(s)
      野曽原 直之, 瀬波 大土
    • Organizer
      第21回 理論化学討論会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 電気双極子モーメントの測定における有効電場と分子内部の電子スピントルク2018

    • Author(s)
      高橋 俊貴, 瀬波 大土
    • Organizer
      第12回分子科学討論会
    • Related Report
      2018 Annual Research Report
  • [Presentation] アルミニウムナノワイヤの電気伝導における化学結合の理論的研究2018

    • Author(s)
      松永 隼治, 瀬波 大土
    • Organizer
      第12回分子科学討論会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 平面構造材料におけるスピン渦と電流の関係2018

    • Author(s)
      野曽原 直之, 瀬波 大土
    • Organizer
      第12回分子科学討論会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Quantum mechanics 100 years of mystery is solved!2018

    • Author(s)
      Akitomo Tachibana
    • Organizer
      International Conference on Systems and Processes in Physics, Chemistry and Biology 2018
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] New Aspects of Quantum Electrodynamics (QED) on Electronic Structure and Dynamics2018

    • Author(s)
      Akitomo Tachibana
    • Organizer
      Symposium on Electronic Structure and Dynamics 2018
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Renewed energy density concept as quantum mechanics 100 years of mystery is solved2018

    • Author(s)
      Akitomo Tachibana
    • Organizer
      255th ACS National Meeting 2018
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子電気伝導現象における抵抗の起源とテンション密度の関係2018

    • Author(s)
      築島 千馬, 瀬波 大土
    • Organizer
      電子デバイス界面テクノロジー研究会 ―材料・プロセス・デバイス特性の物理―
    • Related Report
      2017 Research-status Report
  • [Presentation] Effective electric field for measurement of electron electric dipole2018

    • Author(s)
      Toshiki Takahashi
    • Organizer
      10th Fundamental Physics Using Atoms (FPUA) 2018
    • Related Report
      2017 Research-status Report
  • [Presentation] 局所物理量による電気伝導現象の解析2017

    • Author(s)
      瀬波 大土, 稲田 健, 中西 真, 立花 明知
    • Organizer
      第22回電子デバイス界面テクノロジー研究会
    • Place of Presentation
      三島市 東レ研修センター
    • Year and Date
      2017-01-20
    • Related Report
      2016 Research-status Report
  • [Presentation] 量子電磁力学(QED)によるEPR観測の新しい予言2017

    • Author(s)
      立花明知
    • Organizer
      第20回 理論化学討論会
    • Related Report
      2017 Research-status Report
  • [Presentation] 量子電磁力学(QED)によるEPR観測の新しい完全な予言2017

    • Author(s)
      立花明知
    • Organizer
      第11回 分子科学討論会
    • Related Report
      2017 Research-status Report
  • [Presentation] 量子電磁力学(Quantum Electrodynamics; QED)による二重スリット現象およびアインシュタイン-ポドルスキー-ローゼン(EPR)観測の新しい完全な予言2017

    • Author(s)
      立花明知
    • Organizer
      第37回 量子情報技術研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] Quantum Mechanics 100 Years of Mistery in Solved!2017

    • Author(s)
      Akitomo Tachibana
    • Organizer
      XXII International Workshop on Quantum Systems in Chemistry, Physics and Biology 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Description of electron spin based on quantum field theory: electron electric dipole moment and chirality of a molecule and electrons2017

    • Author(s)
      Masato Senami
    • Organizer
      3rd Computational Chemistry Symposium of International Conference of Computational Methods in Sciences and Engineering (ICCMSE) 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 電気伝導中におけるローレンツ力密度とテンション密度の関係についての理論的研究2017

    • Author(s)
      築島千馬, 瀬波 大土
    • Organizer
      第20回 理論化学討論会
    • Related Report
      2017 Research-status Report
  • [Presentation] Primary Rigged QED に基づく少数粒子系の時間発展2017

    • Author(s)
      野曽原 直之, 築島 千馬, 瀬波 大土, 立花 明知
    • Organizer
      第20回 理論化学討論会
    • Related Report
      2017 Research-status Report
  • [Presentation] 電子の電気双極子モーメントと場の量子論に基づくスピントルク描像2017

    • Author(s)
      高橋 俊貴
    • Organizer
      第一回琉球大学計算科学シンポジウム
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] 電気伝導中におけるローレンツ力密度とテンション密度の関係についての理論的研究2017

    • Author(s)
      築島 千馬, 瀬波 大土
    • Organizer
      第11回 分子科学討論会
    • Related Report
      2017 Research-status Report
  • [Presentation] QEDの局所物理量に基づく水素結合に関する理論的研究2017

    • Author(s)
      伊藤 圭人, 瀬波 大土
    • Organizer
      第11回 分子科学討論会
    • Related Report
      2017 Research-status Report
  • [Presentation] Theoretical Study of the Origin of Resistance in Quantum Electric Conduction Phenomena2017

    • Author(s)
      Kazuma Tsukishima, Masato Senami
    • Organizer
      2017 International Workshop on DIELECTRIC THIN FILMS FOR FUTURE ELECTRON DEVICES ? SCIENCE AND TECHNOLOGY ?
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Analysis method of nanodevice materials based on local physical quantities2016

    • Author(s)
      Masato Senami
    • Organizer
      APPC-AIP Congress 2016
    • Place of Presentation
      Brisbane Convention and Exibition Centre, Brisbane, Australia
    • Year and Date
      2016-12-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] アルファ振動子の時間依存くりこみとそのQEDへの応用:ファインマンが指摘した量子力学のミステリーの解消2016

    • Author(s)
      立花 明知
    • Organizer
      第9回分子科学討論会
    • Place of Presentation
      神戸ファッションマート
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Rigged QED に基づく物理量の時間発展計算2016

    • Author(s)
      瀬波 大土、築島 千馬、立花 明知
    • Organizer
      第9回分子科学討論会
    • Place of Presentation
      神戸ファッションマート
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] QEDの実時間シミュレーションにおける演算子期待値の時間発展とthermalization2016

    • Author(s)
      市川 和秀、立花 明知
    • Organizer
      第9回分子科学討論会
    • Place of Presentation
      神戸ファッションマート
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] QEDの実時間シミュレーションにおける時間発展の二元性とthermalizationに関する研究2016

    • Author(s)
      伊藤 圭人、市川 和秀、立花 明知
    • Organizer
      第9回分子科学討論会
    • Place of Presentation
      神戸ファッションマート
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] 局所的物理量を用いた分子の電気伝導特性の評価方法2016

    • Author(s)
      中西 真、埜崎 寛雄、瀬波 大土、立花 明知
    • Organizer
      第9回分子科学討論会
    • Place of Presentation
      神戸ファッションマート
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Primary Rigged QED理論に基づいた数値計算の誘電応答に関する理論的研究2016

    • Author(s)
      築島 千馬、瀬波 大土、立花 明知
    • Organizer
      第9回分子科学討論会
    • Place of Presentation
      神戸ファッションマート
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] 電流中のスピンに関する局所物理量の理論的研究2016

    • Author(s)
      稲田 健、曽我 康太、福田 将大、瀬波 大土、立花 明知
    • Organizer
      第9回分子科学討論会
    • Place of Presentation
      神戸ファッションマート
    • Year and Date
      2016-09-13
    • Related Report
      2016 Research-status Report
  • [Presentation] Local Physical Quantities for Spin Based on the Relativistic Quantum Field Theory in Molecular Systems2016

    • Author(s)
      Masato Senami, Masahiro Fukuda, Kota Soga, and Akitomo Tachibana
    • Organizer
      QSCP-XXI
    • Place of Presentation
      University of British Columbia, Vancouver, BC, Canada
    • Year and Date
      2016-07-02
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Study of atomic and molecular systems by electronic stress tensor density and kinetic energy density2016

    • Author(s)
      Kazuhide Ichikawa and Akitomo Tachibana
    • Organizer
      Fourth Changsha International Workshop on Theoretical and Computational Chemistry with Materials 2016
    • Place of Presentation
      Hunan Normal University, Changsha, China
    • Year and Date
      2016-06-10
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] アルファ振動子理論における時間依存くりこみとそのQED への応用2016

    • Author(s)
      立花 明知
    • Organizer
      第19回理論化学討論会
    • Place of Presentation
      早稲田大学 西早稲田キャンパス
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
  • [Presentation] Rigged QED に基づくポジトロニウムの時間発展2016

    • Author(s)
      瀬波 大土、築島 千馬、立花 明知
    • Organizer
      第19回理論化学討論会
    • Place of Presentation
      早稲田大学 西早稲田キャンパス
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
  • [Presentation] QED の実時間シミュレーションにおける演算子期待値の時間発展2016

    • Author(s)
      市川 和秀、福田 将大、立花 明知
    • Organizer
      第19回理論化学討論会
    • Place of Presentation
      早稲田大学 西早稲田キャンパス
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
  • [Presentation] QED の実時間シミュレーションにおける時間発展の二元性に関する研究2016

    • Author(s)
      伊藤 圭人、福田 将大、市川 和秀、立花 明知
    • Organizer
      第19回理論化学討論会
    • Place of Presentation
      早稲田大学 西早稲田キャンパス
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
  • [Presentation] キラル分子内部のスピンに関する局所物理量の理論的研究2016

    • Author(s)
      稲田 健、曽我 康太、福田 将大、瀬波 大土、立花 明知
    • Organizer
      第19回理論化学討論会
    • Place of Presentation
      早稲田大学 西早稲田キャンパス
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
  • [Presentation] 相対論的場の量子論に基づくスピンに関する局所物理量2016

    • Author(s)
      福田 将大、市川 和秀、瀬波 大土、立花 明知
    • Organizer
      第19回理論化学討論会
    • Place of Presentation
      早稲田大学 西早稲田キャンパス
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
  • [Presentation] Primary Rigged QED 理論に基づいた誘電応答に関する研究2016

    • Author(s)
      築島 千馬、瀬波 大土、立花 明知
    • Organizer
      第19回理論化学討論会
    • Place of Presentation
      早稲田大学 西早稲田キャンパス
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
  • [Presentation] 局所電気伝導率を用いた分子のコンダクタンス評価方法2016

    • Author(s)
      中西 真、瀬波 大土、立花 明知
    • Organizer
      第19回理論化学討論会
    • Place of Presentation
      早稲田大学 西早稲田キャンパス
    • Year and Date
      2016-05-23
    • Related Report
      2016 Research-status Report
  • [Presentation] Tension density as counter force to the Lorentz force density2016

    • Author(s)
      Hiroo Nozaki, Masato Senami, Kazuhide Ichikawa, and Akitomo Tachibana
    • Organizer
      THERMEC 2016
    • Place of Presentation
      Messe Congress Graz, Graz, Austria
    • Year and Date
      2016-05-20
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Book] Harnessing Nanoscale Surface Interactions2019

    • Author(s)
      Pawel Szarek and Akitomo Tachibana
    • Total Pages
      28
    • Publisher
      Elsevier
    • Related Report
      2018 Annual Research Report
  • [Book] 新講量子電磁力学2017

    • Author(s)
      立花明知
    • Total Pages
      169
    • Publisher
      サイエンス社
    • Related Report
      2017 Research-status Report
  • [Book] New Aspects of Quantum Electrodynamics2017

    • Author(s)
      Akitomo Tachibana
    • Total Pages
      189
    • Publisher
      Springer
    • Related Report
      2016 Research-status Report
  • [Remarks] QEDynamics

    • URL

      https://mfukudaqed.github.io/Tachibana_Lab_HP/qed/index.html

    • Related Report
      2018 Annual Research Report
  • [Remarks] QEDalpha

    • URL

      https://github.com/mfukudaQED/QEDalpha

    • Related Report
      2018 Annual Research Report 2017 Research-status Report
  • [Remarks] Tachibana Lab

    • URL

      https://mfukudaqed.github.io/Tachibana_Lab_HP/top_e.htm

    • Related Report
      2018 Annual Research Report
  • [Remarks] Tachibana Lab

    • URL

      http://www.tachibana.kues.kyoto-u.ac.jp/top_e.htm

    • Related Report
      2018 Annual Research Report
  • [Remarks] QEDynamics

    • URL

      http://www.tachibana.kues.kyoto-u.ac.jp/qed/index.html

    • Related Report
      2017 Research-status Report 2016 Research-status Report
  • [Remarks] Tachibana Lab

    • URL

      http://www.tachibana.kues.kyoto-u.ac.jp/

    • Related Report
      2017 Research-status Report
  • [Remarks] Tachibana Lab

    • URL

      https://mfukudaqed.github.io/Tachibana_Lab_HP/

    • Related Report
      2017 Research-status Report
  • [Remarks] 立花研究室

    • URL

      http://www.tachibana.kues.kyoto-u.ac.jp/

    • Related Report
      2016 Research-status Report

URL: 

Published: 2016-04-21   Modified: 2020-03-30  

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