Prog. Theor. Phys. Vol. 101 No. 3 (1999) pp. 473-485
A Geometrical Characteristic of the Mixing Effect Induced by Non-Abelian Berry's Phase
— Case of Nuclear Quadrupole System Rotating about Two Axes
Department of Physics, Kyoto Sangyo University, Kyoto 603-8555, Japan
(Received October 6, 1998)
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.
DOI : 10.1143/PTP.101.473
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