Separation of variables in the Hamilton–Jacobi, Schrödinger, and related equations. I. Complete separation

DOI10.1063/1.522694zbMath0302.35035OpenAlexW4245793836MaRDI QIDQ4056989

Peter Havas

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1063/1.522694

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Noncommutative integration of linear differential equations, Separation of variables in the Hamilton-Jacobi equation for geodesics in two and three dimensions, Separation of variables in the Hamilton–Jacobi, Schrödinger, and related equations. II. Partial separation, When is a Hamiltonian system separable?, Relativistic fluids and metric symmetries, Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation, Symmetries of the Hamilton–Jacobi equation, Memorial: Peter Havas (29.3.1916--25.6.2004), Symmetry and separation of variables for the Hamilton–Jacobi equation W2t−W2x −W2y =0, A study of some exact solutions to Einstein's field equations which yield separable Hamilton-Jacobi equations, Separable coordinates for four-dimensional Riemannian spaces, Subgroups of Lie groups and separation of variables, Separability structures corresponding to conservative dynamical systems

Cites Work

• Separable systems of Stäckel
• Lie theory and separation of variables. 6. The equation i U t + Δ2U = 0
• A new basis for the representations of the rotation group. Lamé and Heun polynomials