Generalized coherent states forSU(n) systems

2000/04/22 by Kae Nemoto · 2 citations
Mathematics · Physics and Astronomy · #Laser-Matter Interactions and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/0305-4470/33/17/307

published as J. Phys. A, 33, 3493-3506 (2000) · 11 pages

arxiv created 2000/04/22 · openalex publication_date 2000/05/03 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

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 (2 n -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.

Citations

• Representations of the Weyl group and Wigner functions for SU(3)
• Coherent states: Theory and some applications
• The Quantum Theory of Optical Coherence

Cited by

• Coherent states in complex variables and classical dynamics
• Qubit phase space:SU(n)coherent-statePrepresentations