Null phase curves and manifolds in geometric phase theory

Chaturvedi, S. ; Ercolessi, E. ; Morandi, G. ; Ibort, A. ; Marmo, G. ; Mukunda, N. ; Simon, R. (2013) Null phase curves and manifolds in geometric phase theory Journal of Mathematical Physics, 54 (6). 062106. ISSN 0022-2488

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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.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
ID Code:97791
Deposited On:08 Nov 2013 10:22
Last Modified:08 Nov 2013 10:22

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