R-separation of variables for the time-dependent Hamilton–Jacobi and Schrödinger equations

DOI10.1063/1.527592zbMath0645.35085OpenAlexW2086398504MaRDI QIDQ3788410

Willard jun. Miller, Ernest G. Kalnins

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527592

zbMATH Keywords

Riemannian manifoldSchrödinger equationsHamilton-JacobiR-separation

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

On a time-dependent extension of the Morse potential ⋮ Variable-separation theory for the null Hamilton–Jacobi equation ⋮ Average energy and quantum similarity of a time dependent quantum system subject to Pöschl-Teller potential

Cites Work

• Stäckel spaces
• Conformal Killing Tensors and Variable Separation for Hamilton–Jacobi Equations
• Related Evolution Equations and Lie Symmetries
• Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere S n and Euclidean n-space R n
• R-Separation for Heat and Schrödinger Equations I
• Separation of variables in Einstein spaces. I. Two ignorable and one null coordinate
• Symmetry of time-dependent Schrödinger equations. II. Exact solutions for the equation {∂x x+2i∂t−2g2(t)x2−2g1(t)x −2g0(t)}Ψ(x, t) = 0
• Separability of schrödinger and Klein-Gordon equations with a vector potential

This page was built for publication: R-separation of variables for the time-dependent Hamilton–Jacobi and Schrödinger equations