Quantization of Open System Based on Quantum State Diffusion(2) (量子力学とカオスのボーダーにおける基礎的問題)
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概要
- 論文の詳細を見る
開いた系を量子化する1つの方法,quantum state diffusion法(確率的シュレーディンガー方程式)の応用例を示す.この方法では,系の量子-古典対応を論じる際,古典論で位相空間内を時々刻々に変化していく事象が見て取れるのに対応するように,ヒルベルト空間内で,ハミルトニアンによる時間発展はもちろん,散逸効果も確率過程的取り込んで,状態ベクトルを時間発展させる.ここでは古典的に散逸系でカオスが現れているダフィン振動子の量子化を取り上げ,有効プランク定数を変えて擬リヤプノフ数を求め,有効プランク定数のある臨界値でこの系が古典系から量子系へのクロスオーバしていることを示す.
- 2004-07-20
著者
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Ota Yukihiro
Department Of Physics Waseda University
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Ota Yukihiro
Department Of Physics Wadeda University
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Ota Yukihiro
Department Of Dentistry Oral And Maxillofacial Surgery Osaka Police Hospital
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Ohba Ichiro
Department Of Physics And Science And Engineering Research Laboratory Waseda University
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Ohba Ichiro
Department Of Applied Physics Waseda University
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