Symmetry and separation of variables for the Hamilton–Jacobi equation W2t−W2x −W2y =0

DOI10.1063/1.523539zbMath0365.70021OpenAlexW1989215171WikidataQ124935756 ScholiaQ124935756MaRDI QIDQ4140441

Charles P. Boyer, Ernest G. Kalnins, Willard jun. Miller

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1063/1.523539

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Hamilton-Jacobi equations in mechanics (70H20) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (5)

Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stäckel transform and 3D classification theory ⋮ Integrable systems based on SU(p,q) homogeneous manifolds ⋮ Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry ⋮ Separable coordinates for four-dimensional Riemannian spaces ⋮ Completely integrable relativistic Hamiltonian systems and separation of variables in Hermitian hyperbolic spaces

Cites Work

• Separable systems of Stäckel
• Separation of variables in the Hamilton–Jacobi, Schrödinger, and related equations. I. Complete separation
• Separable coordinate systems for the Hamilton-Jacobi, Klein-Gordon and wave equations in curved spaces
• Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψt t − Δ2Ψ = 0
• Lie theory and separation of variables. 9. Orthogonal R-separable coordinate systems for the wave equation ψt t−Δ2ψ=0
• 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
• Lie theory and the wave equation in space–time. I. The Lorentz group
• Symmetries of the Hamilton–Jacobi equation
• A new basis for the representations of the rotation group. Lamé and Heun polynomials
• 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
• The de Sitter groupL 4,1 and the bound states of hydrogen atom

This page was built for publication: Symmetry and separation of variables for the Hamilton–Jacobi equation W2t−W2x −W2y =0