A Geometrical Characteristics of the Mixing Effect Induced by Non-Abelian Berry's Phase--Case of Nuclear Quadrupole System Rotating about Two Axes

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  • Asakura Hiroshi
    Department of Physics, Kyoto Sangyo University, Kyoto 603–8555, Japan

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  • A Geometrical Characteristic of the Mixing Effect Induced by Non-Abelian Berry's Phase-Case of Nuclear Quadrupole System Rotating about Two Axes.
  • Geometrical Characteristics of the Mixing Effect Induced by Non-Abelian Berry s Phase Case of Nuclear Quadrupole System Rotating about Two Axes
  • A Geometrical Characteristic of the Mixing Effect Induced by Non-Abelian Berry's Phase

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説明

A geometrical characteristic of the mixing effect induced by the non-Abelian Berry's phase appearing in a nuclear quadrupole system (I = 3/2) rotating about two axes is examined by using the rotating frame formulation. We show that the geometry-dependent parts of the mixing effect appear in the magnitude of the probability amplitude of the spin states and the rate of non-trivial mixing among these states after one period of motion of the system. These values depend only on the geometrical parameters which determine the trajectory traced by the principal-axis defined as the direction of the symmetry axis of the quadrupolar interaction.

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