A new boson calculus for SU(3)

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532129· OSTI ID:538449

Prakash, J S ^[1]; Sharatchandra, H S ^[2]

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1. Institute Of Mathematical Sciences, Tharamani, Chennai- 600 113 (India)
2. Institute of Mathematical Sciences, Tharamani, Chennai- 600 113 (India)

It is shown that the Gelfand-Weyl pattern for SU(3) can be uniquely expressed in terms of four non-negative and one positive or negative free integers. This provides an optimal, albeit non-linear, boson calculus for SU(3) in terms of four harmonic oscillators and one planar rotor. (By optimal it is meant that every irreducible representation is obtained once and once only.) Our techniques can be generalized to other groups. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 538449
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOSONS
HARMONIC OSCILLATORS
IRREDUCIBLE REPRESENTATIONS
ROTORS
SU-3 GROUPS