activity
20022023
most citedHeun equation, Teukolsky equation, and type-D metrics

47 citations · 183 across the 10 of their papers we have counts for

collaborators

10 papers

math.CA2023

On the connection coefficients for linear differential systems with applications to the spheroidal and ellipsoidal wave equation

Harald Schmid

This paper is concerned with the connection coefficients between the local fundamental solutions of a linear ordinary differential system with two neighboring regular s…

math-ph2022★ 3 cited

Computation of the eigenvalues for the angular and Coulomb spheroidal wave equation

Harald Schmid

In this paper we study the eigenvalues of the angular spheroidal wave equation and its generalization, the Coulomb spheroidal wave equation. An associated differential system and a…

nlin.SI2020★ 2 cited

On the deformation of linear Hamiltonian systems

Harald Schmid

For linear Hamiltonian systems we investigate the problem how the eigenvalues depend on the entries of the coefficient matrix . Th…

gr-qc2007★ 9 cited

The Dirac propagator in the extreme Kerr metric

D. Batic, H. Schmid

Starting with the Dirac equation in the extreme Kerr metric we derive an integral representation for the propagator of solutions of the Cauchy problem with initial data in the clas…

gr-qc2007★ 47 cited

Heun equation, Teukolsky equation, and type-D metrics

D. Batic, H. Schmid

Starting with the whole class of type-D vacuum backgrounds with cosmological constant we show that the separated Teukolsky equation for zero rest-mass fields with spin (g…

gr-qc2006★ 30 cited

The generalized Heun equation in QFT in curved space-times

Davide Batic, Harald Schmid, Monika Winklmeier

In this article we give a brief outline of the applications of the generalized Heun equation (GHE) in the context of Quantum Field Theory in curved space-times. In particular, we r…