Invariant-related unitary transformation and non-adiabatic non-abelian phase factor

Citation
J. Fu et al., Invariant-related unitary transformation and non-adiabatic non-abelian phase factor, PHYS SCR, 60(1), 1999, pp. 9-14
Citations number
13
Categorie Soggetti
Physics
Journal title
PHYSICA SCRIPTA
ISSN journal
02811847 → ACNP
Volume
60
Issue
1
Year of publication
1999
Pages
9 - 14
Database
ISI
SICI code
0281-1847(199907)60:1<9:IUTANN>2.0.ZU;2-G
Abstract
A new formulation is proposed for the investigation of the non-adiabatic no n-Abelian connection and phase factor by making use of the invariant theory and invariant-related unitary transformation method. In order to illustrat e the formulation, we calculate the non-adiabatic non-Abelian connection an d phase factor associated with the motion of a charged particle in a time-d ependent magnetic field (the time-dependent Landau level problem).