Browsing by Subject "functions"

Now showing items 1-3 of 3

Complete sets of functions for perturbations of Robertson–Walker cosmologies and spin 1 equations in Robertson–Walker-type space-times

Kalnins, Ernie G.; Miller, W., Jr. (1991-03)

Crucial to a knowledge of the perturbations of Robertson–Walker cosmological models are complete sets of functions with which to expand such perturbations. For the open Robertson–Walker cosmology an answer to this question ...
Superintegrability on the two-dimensional hyperboloid

Kalnins, Ernie G.; Miller, W., Jr.; Pogosyan, G.S. (American Institute of Physics, 1997-10)

In this work we examine the basis functions for classical and quantum mechanical systems on the two-dimensional hyperboloid that admit separation of variables in at least two coordinate systems. We present all of these ...
Teukolsky–Starobinsky identities for arbitrary spin

Kalnins, Ernie G.; Miller, W., Jr.; Williams, G.C. (1989-12)

The Teukolsky–Starobinsky identities are proven for arbitrary spin s. A pair of covariant equations are given that admit solutions in terms of Teukolsky functions for general s. The method of proof is shown to extend to ...