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Mark Byrd

Publications and source records attributed to Mark Byrd.

20 records · Page 2Linked to original sources
arXiv1998

Differential Geometry on SU(3) with Applications to Three State Systems

The left and right invariant vector fields are calculated in an ``Euler angle'' type parameterization for the group manifold of SU(3), referred to here as Euler coordinates. The corresponding left and right invariant one-forms are then calculated. This enables the calculation of the invariant volume element or Haar measure. These are then used to describe the density matrix of a pure state and geometric phases for three state systems.

math-ph↗
arXiv1997

The Geometry of SU(3)

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.

math-ph↗