Bargmann Invariants and Geometric Phases - a Generalised Connection
Quantum Physics
2008-12-18 v1
Abstract
We develop the widest possible generalisation of the well-known connection between quantum mechanical Bargmann invariants and geometric phases. The key notion is that of null phase curves in quantum mechanical ray and Hilbert spaces. Examples of such curves are developed. Our generalisation is shown to be essential to properly understand geometric phase results in the cases of coherent states and of Gaussian states. Differential geometric aspects of null phase curves are also briefly explored.
Cite
@article{arxiv.quant-ph/9907080,
title = {Bargmann Invariants and Geometric Phases - a Generalised Connection},
author = {Eqab M. Rabei and Arvind and R. Simon and N. Mukunda},
journal= {arXiv preprint arXiv:quant-ph/9907080},
year = {2008}
}
Comments
Accepted for publication in Physical Review A