Generalized Euler angle parametrization for SU(N)

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Published 19 November 2002 • Published under licence by IOP Publishing Ltd
, , Citation Todd Tilma and E C G Sudarshan 2002 J. Phys. A: Math. Gen. 35 10467 DOI 10.1088/0305-4470/35/48/316

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1 Physics Department, The Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas at Austin, Austin, TX 78712-1081, USA

2 Physics Department, Center for Particle Physics, The University of Texas at Austin, Austin, TX 78712-1081, USA

Dates

  1. Received 25 October 2002
  2. Published

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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.

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