Geometric phase and modulus relations for SU(n) matrix elements in the defining representation
Botero, Alonso
arXiv, 0310065 / Harvested from arXiv
Text on arXiv
A set of relations between the modulus and phase is derived for amplitudes of the form $\mels{\hatu(x)}$ where $\hat{U}(x) \in SU(n)$ in the fundamental representation and $x$ denotes the coordinates on the group manifold. An illustration is given for the case $n=2$ as well as a brief discussion of phase singularities and superoscillatory phase behavior for such amplitudes. The present results complement results obtained previously \cite{PMrel1} for amplitudes valued on the ray space ${\cal R} = {\mathbb C}P^n$. The connection between the two is discussed.
Publié le : 2003-10-29
Classification:  Mathematical Physics,  Mathematics - Differential Geometry,  Mathematics - Group Theory,  Quantum Physics,  20G45 
@article{0310065,
     author = {Botero, Alonso},
     title = {Geometric phase and modulus relations for SU(n) matrix elements in the
  defining representation},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310065}
}

Botero, Alonso. Geometric phase and modulus relations for SU(n) matrix elements in the
  defining representation. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310065/