Tilma, Todd ; Sudarshan, E. C. G. (2004) Generalized Euler angle parameterization for U(N) with applications to SU(N) coset volume measures Journal of Geometry and Physics, 52 (3). pp. 263-283. ISSN 0393-0440
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.geomphys.2004.03.003
Abstract
In a previous paper [J. Phys. A: Math. Gen. 35 (2002) 10467] 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), CPN, as well as other SU(N) and U(N) cosets, normalized to this parameterization, 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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Lie Group Parameterization; Group Volumes; Manifolds; Measures; 57S25; 17B81; 28C10; 49Q20 |
| ID Code: | 51007 |
| Deposited On: | 27 Jul 2011 13:03 |
| Last Modified: | 18 May 2016 05:06 |
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