Lie algebraic methods and solutions of linear partial differential equations
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Publication:3353422
DOI10.1063/1.528937zbMath0729.35028OpenAlexW2160036480MaRDI QIDQ3353422
Giuseppe Schettini, M. Richetta, Amalia Torre, Giuseppe Dattoli
Publication date: 1990
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528937
Initial value problems for linear higher-order PDEs (35G10) Linear higher-order PDEs (35G05) Lie algebras and Lie superalgebras (17B99) Higher-order parabolic equations (35K25)
Related Items (8)
On representations of Lie algebras for quantized Hamiltonians ⋮ On faithful matrix representations of \(q\)-deformed models in quantum optics ⋮ The most general solution for the wave equation of the transformed Tavis-Cummings model ⋮ Reduced phase space optics for general relativity: symplectic ray bundle transfer ⋮ Lie algebraic approach of a charged particle in presence of a constant magnetic field via the quadratic invariant ⋮ Solution of linear partial differential equations by Lie algebraic methods ⋮ Lie algebraic treatment of the quadratic invariants for a quantum system ⋮ Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant
Cites Work
- Group-theoretic origin of certain generating functions
- Applications of the Lie algebraic formulas of Baker, Campbell, Hausdorff and Zassenhaus to the calculation of explicit solutions of partial differential equations
- Cayley–Klein parameters and evolution of two- and three-level systems and squeezed states
- Evolution of SU(2) and SU(1,1) states: A further mathematical analysis
- Lie theory and separation of variables. 5. The equations iUt + Uxx = 0 and iUt + Uxx −c/x2 U = 0
- Exponential Operators and Parameter Differentiation in Quantum Physics
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