Generalized Euler Angle Parameterization for U(N) with Applications to SU(N) Coset Volume Measures
Mathematical Physics
2015-06-26 v5 math.MP
Abstract
In a previous paper (math-ph/0205016) an Euler angle parameterization for SU(N) was given. Here we present a generalized Euler angle parameterization for U(N). The formula for the calculation of the volume for U(N), CP(N) as well as other SU(N) and U(N) cosets will also be given. In addition, the mixed and pure state product measures for N-dimensional density matrices under this parameterization will also be derived.
Cite
@article{arxiv.math-ph/0210057,
title = {Generalized Euler Angle Parameterization for U(N) with Applications to SU(N) Coset Volume Measures},
author = {Todd Tilma and E. C. G. Sudarshan},
journal= {arXiv preprint arXiv:math-ph/0210057},
year = {2015}
}
Comments
26 pages, no figures; minor edits, to be published in J. Geom. Phys