SU(N) Coherent States
نویسنده
چکیده
We generalize Schwinger boson representation of SU(2) algebra to SU(N) and define coherent states of SU(N) using 2(2N−1−1) bosonic harmonic oscillator creation and annihilation operators. We give an explicit construction of all (N-1) Casimirs of SU(N) in terms of these creation and annihilation operators. The SU(N) coherent states belonging to any irreducible representations of SU(N) are labelled by the eigenvalues of the Casimir operators and are characterized by (N-1) complex orthonormal vectors describing the SU(N) manifold. The coherent states provide a resolution of identity, satisfy the continuity property, and possess a variety of group theoretic properties. PACS: 02.20.-a [email protected] [email protected]
منابع مشابه
Generalized intelligent states of the su(N) algebra
Schrödinger-Robertson uncertainty relation is minimized for the quadrature components of Weyl generators of the algebra su(N). This is done by determining explicit Fock-Bargamann representation of the su(N) coherent states and the differential realizations of the elements of su(N). New classes of coherent and squeezed states are explicitly derived. ∗Permanent adress: LPMC, Faculty of Sciences, ...
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