Separation of variables in the Hamilton–Jacobi, Schrödinger, and related equations. II. Partial separation

DOI10.1063/1.522489zbMath0314.35022OpenAlexW2554491532MaRDI QIDQ4073778

Peter Havas

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1063/1.522489

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (11)

Construction of new integrable Hamiltonians in two degrees of freedom ⋮ Block-separation of variables: a form of partial separation for natural Hamiltonians ⋮ Stäckel spaces ⋮ Separation of variables in the Hamilton-Jacobi equation for geodesics in two and three dimensions ⋮ Some basic properties of Killing spinors ⋮ Conformal Killing tensors in reducible spaces ⋮ Separable coordinates for four-dimensional Riemannian spaces ⋮ Pseudo-orthogonal groups and integrable dynamical systems in two dimensions ⋮ Conformal Killing tensors of order 2 for the Schwarzschild metric ⋮ Hidden symmetries and Killing tensors ⋮ Construction of the second constant of motion for two-dimensional classical systems

Cites Work

• On quadratic first integrals of the geodesic equations for type [22 spacetimes]
• Separation of variables in the Hamilton–Jacobi, Schrödinger, and related equations. I. Complete separation
• Structural equations for Killing tensors of order two. I
• Lie theory and separation of variables. 5. The equations iUt + Uxx = 0 and iUt + Uxx −c/x2 U = 0

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