On representations of Lie algebras for quantized Hamiltonians
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Publication:1372960
DOI10.1016/S0024-3795(96)00631-3zbMath0887.17004WikidataQ115339997 ScholiaQ115339997MaRDI QIDQ1372960
M. E. Khalifa, L. A.-M. Hanna, Shoukry S. Hassan
Publication date: 27 May 1998
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of global analysis to the sciences (58Z05) Quantum optics (81V80) PDEs in connection with quantum mechanics (35Q40)
Related Items (4)
On representations of Lie algebras for quantized Hamiltonians ⋮ On matrix representations of deformed Lie algebras for quantized Hamiltonians ⋮ On the classification of the Lie algebras \(L_r^s\). ⋮ On faithful matrix representations of \(q\)-deformed models in quantum optics
Cites Work
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- Applications of the Lie algebraic formulas of Baker, Campbell, Hausdorff and Zassenhaus to the calculation of explicit solutions of partial differential equations
- On representations of Lie algebras for quantized Hamiltonians
- Ordering of Boson operator functions by the Hausdorff similarity transform
- Lie algebraic methods and solutions of linear partial differential equations
- Lie algebraic approach to the coupled-mode oscillator
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