Quick Search:
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
—
Hiroshi Asakura
Department of Physics, Kyoto Sangyo University, Kyoto 603-8555, Japan
(Received October 6, 1998)
Abstract:
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.
URL :
http://ptp.ipap.jp/link?PTP/101/473/
DOI : 10.1143/PTP.101.473
References:
-
F. Wilczek and A. Zee, Phys. Rev. Lett. 52 (1984), 2111[APS].
- M. V. Berry, Proc. R. Soc. London A392 (1984), 45.
-
Y. Aharonov and J. Anandan, Phys. Rev. Lett. 58 (1987), 1593[APS].
-
R. Tycko, Phys. Rev. Lett. 58 (1987), 2281[APS].
-
A. Zee, Phys. Rev. A38 (1988), 1[APS].
-
J. W. Zwanziger, M. Koenig and A. Pines, Phys. Rev. A42 (1990), 3107[APS].
-
S. Appelt, G. Wäckerle and M. Mehring, Phys. Rev. Lett. 72 (1994), 3921[APS].
- H. Asakura and A. Sakurai, Prog. Theor. Phys. 100 (1998), 665[PTP].
-
J. Segert, J. Math. Phys. 28 (1987), 2102[CrossRef].
-
J. Segert, Ann. of Phys. 179 (1987), 294[CrossRef].
-
M. Ligare, Phys. Rev. A42 (1990), 5069[APS].
