Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψt t − Δ2Ψ = 0

DOI10.1063/1.522492zbMath0321.35049OpenAlexW2052228713MaRDI QIDQ4084116

Ernest G. Kalnins, Willard jun. Miller

Publication date: 1975

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.522492

Mathematics Subject Classification ID

Wave equation (35L05) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (6)

Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry ⋮ Symmetries of the Hamilton–Jacobi equation ⋮ Symmetry and separation of variables for the Hamilton–Jacobi equation W2t−W2x −W2y =0 ⋮ Quadratic Hamiltonians in phase space and their eigenstates ⋮ The wave equation, O(2, 2), and separation of variables on hyperboloids ⋮ Subgroups of Lie groups and separation of variables

Cites Work

• On a Normal Form of the Orthogonal Transformation I
• On a Hilbert space of analytic functions and an associated integral transform part I
• Lie theory and separation of variables. 6. The equation i U t + Δ2U = 0
• Lie theory and separation of variables. 7. The harmonic oscillator in elliptic coordinates and Ince polynomials
• Noncompact Lie-algebraic approach to the unitary representations of SU∼(1,1): Role of the confluent hypergeometric equation
• Lie Theory and Separation of Variables. I: Parabolic Cylinder Coordinates
• A new basis for the representations of the rotation group. Lamé and Heun polynomials
• Lie Theory and Separation of Variables. II: Parabolic Coordinates
• Lie theory and separation of variables. 3. The equation ftt−fss =γ2f
• Lie theory and separation of variables. 4. The groups SO (2,1) and SO (3)
• Lie theory and separation of variables. 5. The equations iUt + Uxx = 0 and iUt + Uxx −c/x2 U = 0
• On the Separation of Variables for the Laplace Equation $\Delta \psi + K^2 \psi = 0$ in Two- and Three-Dimensional Minkowski Space
• Irreducibility of the Ladder Representations of U(2, 2) when Restricted to the Poincaré Subgroup

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