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立花教授の理論

Meta-IRC理論

Meta-IRC (Intrinsic Reaction Coordinate) 理論を初めて定式化した。

Selected Publications:

  • "Differential Geometry of Chemically Reacting Systems," A. Tachibana and K. Fukui, Theor. Chim. Acta (Berl.) 49. 321-347 (1978).
  • "Intrinsic Dynamism in Chemically Reacting Systems," A. Tachibana and K. Fukui, Theor. Chim. Acta (Berl.), 51, 189-206 (1979).
  • "Intrinsic Field Theory of Chemical Reactions," A. Tachibana and K. Fukui, Theor. Chim. Acta (Berl.), 51, 275-296 (1979).
  • "Novel Variational Priniciple of Chemical Reactions," A. Tachibana and K. Fukui, Theor. Chim. Acta (Berl.), 57, 81-94 (1980).
  • "Extended Hessian Matrix along the Reaction Coordinate," A. Tachibana, Theor. Chim. Acta (Berl.), 58, 301-308 (1981).
  • "String Model of Chemical Reaction Coordinate," A. Tachibana, J. Math. Chem., 7, 95-110 (1991).
  • "String Model of Chemical Reactions," A. Tachibana, in "Conceptual Trends in Quantum Chemistry," Eds. by E. S. Kryachko and J. L. Calais (Kluwer, Dordrecht, 1994), pp. 101-118.

    • 分子振動ホロノミー理論

    分子振動の量子力学的ホロノミーを初めて定式化した。

    Selected Publications:

  • "Complete Molecular Hamiltonian Based on the Born-Oppenheimer Adiabatic Approximation," A. Tachibana and T. Iwai, Phys. Rev. A, 33, 2262-2269 (1986).
  • "Reaction Holonomy and the Geometric Phase of Quantum Evolution in Chemical Reaction Systems," A. Tachibana, J. Mol. Structure (Theochem), 310, 1-11 (1994).
  • "Role and Treatment of Zero Eigenvalues of Rotation in the Cartesian Force Constant Matrix along Reaction Path," A. Tachibana and T. Iwai, in "The Reaction Path in Chemistry: Current Approaches and Perspectives," Ed. by D. Heidrich (Kluwer, Dordrecht, 1995), pp. 77-94.
  • "A Simple Algorithm for Conservation of Invariants of Motion in Reaction Dynamics Calculations: Application to the NH$_3^+$ + NH$_3$ System," A. Tachibana and M. Fuju, J. Chem. Phys., 110, 2323-2331 (1999).
  • "Differential Geometry in Chemical Reaction Dynamics," A. Tachibana, in "The Transition State - A Theoretical Approach," Ed. by T. Fueno (Kodansha, Tokyo; Gordon and Breach, Amsterdam, 1999), pp. 217-247.
  • "The Geometry and Mechanics of Multiparticle Systems," T. Iwai and A. Tachibana, Ann. Inst. Henri Poincare, 70, 525-559 (1999).

    • 分子超伝導理論

    非摂動論的非断熱相互作用に基づく超伝導相転移のメカニズムを初めて定式化した。

    Selected Publications:

  • "Complete Vibronic Hamiltonian and 'Hidden' Superconductivity," A. Tachibana, Phys. Rev. A, 35, 18-25 (1987).
  • "Hidden Superconductivity," A. Tachibana, Synth. Met., 19, 105-110 (1987).
  • "Density Functional Theory for Hidden High-Tc Superconductivity," A. Tachibana, in High-Temperature Superconducting Materials, Eds. by W. E. Hatfield, and J. H. Miller, Jr. (Marcel Dekker, New York, 1988), p. 99-106.
  • "Density Functional Theory for New High-Temperature Superconducting Phase Transition," A. Tachibana, in The Physics and Chemistry of Organic Superconductors, E (Springer, New York, 1990), pp. 461-464.
  • "Finite-Size Dimensional Analysis of the Superconducting Vibronic Interaction," A. Tachibana, Int. J. Quant. Chem., 41, 273-279 (1992).
  • "Novel Electron Correlation in the Scattering Continuum for a Stability Analysis of the Electron Pair in the 'Atomic Level'," A. Tachibana, Bull. Chem. Soc. Jpn., 66, 3319-3325 (1993).
  • "Wannier Analysis of the Cooper Pairing Force," A. Tachibana, Int. J. Quant. Chem., 49, 625-637 (1994).
  • "Electron-Pair Potential in the Doped C60 Superconductors," A. Tachibana and H. Inaba, Fullerene Science & Technology, 2, 107-119 (1994).
  • "Zero-Temperature Equation-of-Motion of Electron Pair in the BCS Theory of Superconductivity," A. Tachibana, Can. J. Chem., 74, 1106-1115 (1996)
  • "Toward Control of Quantum Pair of Electrons in Novel Functional Superconducting Electronic Devices," A. Tachibana, M. Fuju, and T. Noda, in "Recent Research Developments in Physical Chemistry," Ed. by S.G. Pandalai (Transworld Research Network, Trivandrum, India), 2, 841-866 (1998).

    • 量子非平衡熱力学理論

    領域化学ポテンシャル非相等性原理の量子非平衡熱力学理論を初めて定式化した。

    Selected Publications:

  • "Chemical Potential Inequality Principle," A. Tachibana, Theoretical Chemistry Accounts, 102, 188-195 (1999).

    • 領域密度汎関数理論

    化学反応の領域密度汎関数理論を初めて定式化した。

    Selected Publications:

  • "Density Functional Rationale of Chemical Reaction Coordinate," A. Tachibana, Int. J. Quantum Chem., Quantum Chem. Symp., 21, 181-190 (1987).
  • "Application of the Mermin Entropy Principle to the 'Apparatus' Density Functional Theory," A. Tachibana, Int. J. Quantum Chem., 35, 361-372 (1989).
  • "On the Redistribution of Electrons for Chemical Reaction Systems," A. Tachibana and R. G. Parr, Int. J. Quant. Chem., 41, 527-555 (1992).
  • "New Formulation of the Analytical Electronic Energy and the Regional Density Functional Theory," A. Tachibana, Int. J. Quant. Chem., 57, 423-428 (1996).
  • "Application of the Regional Density Functional Theory: the Chemical Potential Inequality in HeH+ System," A. Tachibana, K. Nakamura, K. Sakata, and T. Morisaki, Int. J. Quantum Chem., 74, 669-679 (1999).

    • 量子エネルギー密度

    場の理論に基づく電子の運動エネルギー密度と張力密度の理論を初めて定式化した。

    Selected Publications:

  • "Electronic energy density in chemical reaction systems," A. Tachibana, Journal of Chemical Physics,115, 3497-3518 (2001).
  • "Energy Density in Materials and Chemical Reaction Systems," A. Tachibana, in Reviews in Modern Quantum Chemistry: A Celebration of the Contributions of Robert Parr, edited by Sen, K. D. (World Scientific, Singapore, 2002), Chap. 45, pp. 1327-1366.

    • Rigged QED (Quantum Electrodynamics) 理論

    化学反応ダイナミクスのRigged QED (Quantum Electrodynamics) 理論を初めて定式化した。

    Selected Publications:

  • "Field Energy Density in Chemical Reaction Systems," A. Tachibana, in Fundamental Perspectives in Quantum Chemistry: A Tribute to the Memory of Per-Olov Lowdin, Eds. by Erkki Brandas and Eugene, Kryachko (Kluwer Academic Publishers, Dordrecht, 2003), pp. 211-239.
  • "First-Principle Theoretical Study on the Dynamical Electronic Characteristics of Electromigration in the Bulk, Surface and Grain Boundary," A. Tachibana, in Stress Induced Phenomena in Metallization, edited by S. P. Baker (America Institute of Physics, NewYork, , 2002), pp. 105-116.

    • 量子スピン渦理論

    電子のストレステンソルの起源をアインシュタインの一般相対性理論に求めることにより、量子スピン渦理論を初めて定式化した。

    Selected Publications:

  • "General relativistic symmetry of electron spin torque," A. Tachibana, Journal of Mathematical Chemistry 50, 669-688 (2012).
  • "Electronic Stress with Spin Vorticity," A. Tachibana, In Concepts and Methods in Modern Theoretical Chemistry: Electronic Structure and Reactivity (Atoms, Molecules, and Clusters): CRC Press, Chap. 12, pp. 235-251 (2013).
  • "Stress Tensor of Electron as Energy Density with Spin Vorticity," A. Tachibana, J. Comput. Chem. Jpn., 13, 18-31 (2014).
  • "Electronic stress tensor of chemical bond,"A. Tachibana, Indian Journal of Chemistry A, Vol. 53A, Aug-Sept 2014, pp. 1031-1035.
  • "General relativistic symmetry of electron spin vorticity," A. Tachibana, J. Math. Chem.
  • "Quantum electron spin vorticity theory with $b$-photon, $f$-electron, $f^c$-positron algebras," A. Tachibana, Annual Meeting of Japan Society for Molecular Science (2015, Tokyo), Abstract 2E01, Thursday (Sep. 17), Oral sessions, Venue E [Theory/Calculation] Morning.

    • アルファ振動子理論

    アルファ振動子理論を初めて定式化した。

    Selected Publications:

  • "General relativistic symmetry of electron spin vorticity," A. Tachibana, J. Math. Chem. 53, 1943-1965 (2015).
  • "Time-dependent renormalization of alpha-oscillators for QED," A. Tachibana, J. Math. Chem. 54, 661-681 (2016).

    • 測地的角運動量理論

    測地的角運動量理論を初めて定式化した。

    Selected Publications:

  • "Geodesic angular momentum," A. Tachibana, 2023 Phys. Scr. 98 065010.

    • ダークエネルギー理論

    ダークエネルギー理論を初めて定式化した。

    Selected Publications:

  • "Geodesic angular momentum," A. Tachibana, 2023 Phys. Scr. 98 065010.