EXACT SOLUTION OF THE LINEAR NONAUTONOMOUS SYSTEM WITH THE SU(2) DYNAMICAL GROUP - INVERSION PROBABILITY OF A NEUTRINO IN A TIME-DEPENDENT MAGNETIC-FIELD

Authors
WANG SJ ZUO W
Citation
Sj. Wang et W. Zuo, EXACT SOLUTION OF THE LINEAR NONAUTONOMOUS SYSTEM WITH THE SU(2) DYNAMICAL GROUP - INVERSION PROBABILITY OF A NEUTRINO IN A TIME-DEPENDENT MAGNETIC-FIELD, Physics letters. A, 196(1-2), 1994, pp. 13-19
Citations number
17
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
196
Issue
1-2
Year of publication
1994
Pages
13 - 19
Database
ISI
SICI code
0375-9601(1994)196:1-2<13:ESOTLN>2.0.ZU;2-B
Abstract
The exact solution and the invariant Cartan operator of the linear non autonomous system with the SU(2) dynamical group are obtained with the method of algebraic dynamics. The profound quantum-classical correspo ndence of the solutions is exhibited clearly: the quantum solutions of the system are determined by that of the corresponding classical equa tions. The exact solutions are employed to calculate the inversion pro bability of a neutrino in a time-dependent magnetic field and the part icle spin polarization in beam dynamics. The nonadiabatic Berry phase for a periodic system is also calculated.