Tilma, Todd ; Sudarshan, E. C. G. (2002) Generalized Euler angle parametrization for SU(N) Journal of Physics A: Mathematical and General, 35 (48). pp. 10467-10501. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/35/48/316
Related URL: http://dx.doi.org/10.1088/0305-4470/35/48/316
Abstract
In a previous paper [1] an Euler angle parametrization for SU(4) was given. Here we present the derivation of a generalized Euler angle parametrization for SU(N). The formula for the calculation of the Haar measure for SU(N) as well as its relation to Marinov's volume formula for SU(N) [2, 3] will also be derived. As an example of this parametrization's usefulness, the density matrix parametrization and invariant volume element for a qubit/qutrit, three qubit and two three-state systems, also known as two qutrit systems [4], will also be given.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 50976 |
| Deposited On: | 27 Jul 2011 13:01 |
| Last Modified: | 27 Jul 2011 13:01 |
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