Geometric Phase and Classical-Quantum Correspondence (数理科学的考察・量子情報理論、生物学)

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概要

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• We study the geometric phase factors underlying the classical and the corresponding quantum dynamics of a driven nonlinear oscillator exhibiting chaotic dynamics. For the classical problem, we compute the geometric phase factors associated with the phase space trajectories using Frenet-Serret formulation. For the corresponding quantum problem, the geometric phase associated with the time evolution of the wave function is computed. Our studies suggest that the classical geometric phase may be related to the the difference in the quantum geometric phases between two neighboring eigenstates.

• 素粒子論グループ 素粒子研究編集部の論文
• 2004-07-20

著者

• Balakrishnan Radha

  The Institute Of Mathematical Science

• Satija Indubala

  Department of Physics, George Mason University

• Satija Indubala

  Department Of Physics George Mason University

関連論文

• Geometric Phase and Classical-Quantum Correspondence (数理科学的考察・量子情報理論、生物学)
• Geometric Phase and Classical-Quantum Correspondence (量子力学とカオス--基礎的問題からナノサイエンスまで)

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