Tensor methods and a unified representation theory of SU3

Mukunda, N. ; Pandit, L. K. (1965) Tensor methods and a unified representation theory of SU3 Journal of Mathematical Physics, 6 (5). pp. 746-765. ISSN 0022-2488

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Official URL: http://link.aip.org/link/jmapaq/v6/i5/p746/s1

Related URL: http://dx.doi.org/10.1063/1.1704332


Starting with irreducible tensors, we develop an explicit construction of orthonormal basic states for an arbitrary unitary irreducible representation (λ, μ) of the group SU3. A knowledge of the simple properties of the irreducible tensors can then be exploited to obtain a variety of results, which ordinarily require more abstract algebraic methods for their derivation. As illustrative applications, we (i) derive Biedenharn's expressions for the matrix elements of the generators of SU3, (ii) compute the matrix elements of octet-type operators for the case (λ, μ) → (λ, μ), and (iii) develop an explicit unitary transformation connecting the isospin and the U-spin states in any arbitrary irreducible representation.

Item Type:Article
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ID Code:25353
Deposited On:06 Dec 2010 13:31
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