Chaotic Reaction Dynamics and the Phase Space Geometry of Multi-dimensional Chemical Reaction(4) Quantum chaos and semiclassical theory in molecular science and nuclear theory, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)この論文は国立情報学研究所の電子図書館事業により電子化されました。
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Quantum anomaly and effective field description of a quantum chaotic billiard(6) Approaches from mathematical science and quantum information, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)カオス的量子ビリヤード系の有効場理論を等エネルギー面上の場の理論の観点から考察する。準位の離散性を量子異常の観点から解釈することにより、拡散・バリスティック領域の有効場理論としてKac-Moody代数を導出でき、それが量子カオス系のWigner-Dyson相関に相応していることを示す。 この論文は国立情報学研究所の電子図書館事業により電子化されました。
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Quantum Non-Escape Probability in Open Chaotic System : Lyapunov Exponent versus Periodic Orbits(4) Quantum chaos and semiclassical theory in molecular science and nuclear theory, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)我々は、古典的にカオティっクな開放量子系での滞在確率を半古典的に計算する。時間が十分経てば、次の一般的な結論を引けることができる:時刻tでの滞在確率は二つの項の競争となる:一つはリヤプノフ指数に特徴付けられている指数的な減少とその減少を抑える役割である周期が2tの周期軌道和の項である。 We calculate semiclassically the quantum non-escape probability in an open quantum system with chaotic classical limit. We shall show that for sufficiently large time, the decay of the non-escape probability at
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