Generalized coherent states for SU(n) systems

Details Generalized coherent states for SU(n) systems Generalized coherent states for SU(n) systems

2000-04-22

arxiv.org/abs/quant-ph/0004087v1

J. Phys. A, 33, 3493-3506 (2000)

Physics

Quantum Physics

11 pages

Scientific paper

10.1088/0305-4470/33/17/307

Generalized coherent states are developed for SU(n) systems for arbitrary $n$. This is done by first iteratively determining explicit representations for the SU(n) coherent states, and then determining parametric representations useful for applications. For SU(n), the set of coherent states is isomorphic to a coset space $SU(n)/SU(n-1)$, and thus shows the geometrical structure of the coset space. These results provide a convenient $(2n - 1)$--dimensional space for the description of arbitrary SU(n) systems. We further obtain the metric and measure on the coset space, and show some properties of the SU(n) coherent states.

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