Browsing by Subject "Jacobi equations"
Now showing items 1-5 of 5
-
Completely integrable relativistic Hamiltonian systems and separation of variables in Hermitian hyperbolic spaces
(1983-08)The Hamilton–Jacobi and Laplace–Beltrami equations on the Hermitian hyperbolic space HH(2) are shown to allow the separation of variables in precisely 12 classes of coordinate systems. The isometry group of this ... -
Differential-Stäckel matrices
(1985-07)We show that additive separation of variables for linear homogeneous equations of all orders is characterized by differential-Stäckel matrices, generalizations of the classical Stäckel matrices used for multiplicative ... -
The general theory of R-separation for Helmholtz equations
(1983-05)We develop the theory of R-separation for the Helmholtz equation on a pseudo-Riemannian manifold (including the possibility of null coordinates) and show that it, and not ordinary variable separation, is the natural analogy ... -
R-separation of variables for the time-dependent Hamilton–Jacobi and Schrödinger equations
(1987-05)The theory of R-separation of variables is developed for the time-dependent Hamilton–Jacobi and Schrödinger equations on a Riemannian manifold V n where time-dependent vector and scalar potentials are permitted. As an ... -
Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere Sn and Euclidean n-space Rn
(1986-07)The following problem is solved: What are all the ``different'' separable coordinate systems for the Laplace–Beltrami eigenvalue equation on the n-sphere Sn and Euclidean n-space Rn and how are they constructed? This is ...
