Lie theory and the wave equation in space–time. I. The Lorentz group
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Publication:4104324
DOI10.1063/1.523130zbMath0336.35059OpenAlexW2012860402WikidataQ115332950 ScholiaQ115332950MaRDI QIDQ4104324
Ernest G. Kalnins, Willard jun. Miller
Publication date: 1977
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.523130
Related Items (11)
Identities on solutions of the wave equation in the enveloping algebra of the conformal group ⋮ Noncommutative four-dimensional subalgebras of conformal algebra integrable in the space \(R^{1,3}\) ⋮ Representations of the Poincaré group ⋮ Symmetry and separation of variables for the Hamilton–Jacobi equation W2t−W2x −W2y =0 ⋮ Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψt t−Δ3ψ=0 ⋮ Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψt t−Δ3ψ=0 ⋮ Lie theory and the wave equation in space–time. 4. The Klein–Gordon equation and the Poincaré group ⋮ AN INTEGRABLE SYSTEM ON THE SO(1, 3) GROUP MANIFOLD ⋮ The wave equation, O(2, 2), and separation of variables on hyperboloids ⋮ Subgroups of Lie groups and separation of variables ⋮ A characterization of causal automorphisms by wave equations
Cites Work
- Irreducible unitary representations of the Lorentz group
- Lie theory and separation of variables. 10. Nonorthogonal R-separable solutions of the wave equation ∂t tψ=Δ2ψ
- Lie theory and separation of variables. 11. The EPD equation
- The Group $O(4)$, Separation of Variables and the Hydrogen Atom
- A new basis for the representations of the rotation group. Lamé and Heun polynomials
- Lie theory and separation of variables. 4. The groups SO (2,1) and SO (3)
- Unitary Representations of the Lorentz Group on 4-Vector Manifolds
- Continuous Degenerate Representations of Noncompact Rotation Groups. II
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