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The Geometry of SU(3)

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arxiv physics/9708015 v1 pith:GY452EGI submitted 1997-08-13 math-ph hep-thmath.MP

classification math-phhep-thmath.MP
keywords groupfoundgeometryinvariantalgebraanglescommentscorresponding
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The group SU(3) is parameterized in terms of generalized ``Euler angles''. The differential operators of SU(3) corresponding to the Lie Algebra elements are obtained, the invariant forms are found, the group invariant volume element is found, and some relevant comments about the geometry of the group manifold are made.

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Cited by 2 Pith papers

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    A renormalization scheme is identified for N=2 supersymmetric integrable sigma models in which the five-loop beta-function contribution vanishes and the fourth-loop term becomes a coordinate-independent invariant for ...

  2. Speeding up thermalization and quantum state preparation through engineered quantum collisions

    quant-ph 2025-06 conditional novelty 6.0 of 10

    Optimized sequences of qubit and qutrit ancillas, found by genetic algorithms, rapidly prepare single-mode cavity states including thermal, coherent, squeezed, and non-Gaussian targets.

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