SU(2) coherent state path integrals based on arbitrary fiducial vectors and geometric phases
Abstract
We develop the formulation of the spin(SU(2)) coherent state path integrals based on arbitrary fiducial vectors. The resultant action in the path integral expression extensively depends on the vector; It differs from the conventional one in that it has a generalized form having some additional terms. We also study, as physical applications, the geometric phases associated with the coherent state path integrals to find that new effects of the terms may appear in experiments. We see that the formalism gives a clear insight into geometric phases.
Keywords
Cite
@article{arxiv.quant-ph/9906100,
title = {SU(2) coherent state path integrals based on arbitrary fiducial vectors and geometric phases},
author = {Masao Matsumoto},
journal= {arXiv preprint arXiv:quant-ph/9906100},
year = {2007}
}
Comments
13 pages, no figures, LaTeX2.09 with ioplppt stylefile. The main stream is the same as that of the previous one. However, the whole manuscript is rewritten so that it does not include the incorrect reasoning in Euler angles in Appendix B of the previous version. Thus the present results are represented in terms of a full set of three Euler angles. Some other minor corrections are also made; Besides the title has also changed; The previous one is: A new form of SU(2) coherent state path integrals based on arbitrary starting vectors