Null phase curves and manifolds in geometric phase theory Articles uri icon

publication date

  • June 2013


  • 6 (062106)


  • 54

International Standard Serial Number (ISSN)

  • 0022-2488

Electronic International Standard Serial Number (EISSN)

  • 1089-7658


  • 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 quantum-mechanical 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.


  • pure states; quantum