On matrix representations of deformed Lie algebras for quantized Hamiltonians

✍ Scribed by L.A-M. Hanna

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 165 KB
Volume: 434
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2010.09.003

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On representations of lie algebras for q

On representations of lie algebras for quantized hamiltonians

✍ L.A-M. Hanna; M.E. Khalifa; S.S. Hassan 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 529 KB

S&mitted hy Gorg IIeinig ABSTHACT We prove that the Lie algebra L' : [K,, K\_] = SK,,, [K,,, K,] = \*K,, where s is a real number, K,, is a Hermitian diagonal operator, and K+= K? has nontrivial matrix representations if and only if s > 0.