Null phase curves and manifolds in geometric phase theory
Abstract
Bargmann invariants and null phase curves are known to be important ingredients in understanding the essential nature of the geometric phase in quantum mechanics. Null phase manifolds in quantummechanical ray spaces are submanifolds made up entirely of null phase curves, and so are equally important for geometric phase considerations. It is shown that the complete characterization of null phase manifolds involves both the Riemannian metric structure and the symplectic structure of ray space in equal measure, which thus brings together these two aspects in a natural manner.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 June 2013
 DOI:
 10.1063/1.4811346
 arXiv:
 arXiv:1302.0206
 Bibcode:
 2013JMP....54f2106C
 Keywords:

 03.65.Vf;
 Phases: geometric;
 dynamic or topological;
 Quantum Physics
 EPrint:
 10 pages, 1 figure