On Representations of Lie Algebras for Quantized Hamiltonians
khalifa, mohamed essam; L.A-M. Hanna; S.S. Hassan;
Abstract
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.
is a real number, K,, is a Hermitian diagonal operator, and K+= K? has nontrivial
matrix representations if and only if s > 0.
Other data
| Title | On Representations of Lie Algebras for Quantized Hamiltonians | Authors | khalifa, mohamed essam ; L.A-M. Hanna; S.S. Hassan | Issue Date | Nov-1997 | Publisher | ELSEVIER | Journal | Linear Algebra and its Applications | Volume | 266 | Start page | 69 | End page | 79 | DOI | https://doi.org/10.1016/S0024-3795(96)00631-3 |
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