42 citations · 223 across the 15 of their papers we have counts for
15 papers
Exact Solutions for Compactly Supported Parabolic and Landau Quantum Barriers
Peter Collas, David Klein
We derive exact solutions to the one-dimensional Schrödinger equation for compact support parabolic and hyperbolic secant potential barriers, along with combinations of these types…
Coulomb scattering in the Born approximation and the use of generalized functions
Peter Collas
We discuss three ways of obtaining the Born approximations for Coulomb scattering: The standard way, making use of a convergence factor ("screening"), Oppenheimer's way using cylin…
The Dirac equation in general relativity, a guide for calculations
Peter Collas, David Klein
In these informal lecture notes we outline different approaches used in doing calculations involving the Dirac equation in curved spacetime. We have tried to clarify the subject by…
Dirac particles in a gravitational shock wave
Peter Collas, David Klein
Using the Newman-Penrose formalism we calculate the positive energy momentum eigenstates of the Dirac equation for a plane polarized grav- itational wave pulse. We then consider Di…
Embeddings and time evolution of the Schwarzschild wormhole
Peter Collas, David Klein
We show how to embed spacelike slices of the Schwarzschild wormhole (or Einstein-Rosen bridge) in R3. Graphical images of embeddings are given, including depictions of the dynamics…
Recessional velocities and Hubble's law in Schwarzschild-de Sitter space
David Klein, Peter Collas
We consider a spacetime with empty Schwarzschild-de Sitter exterior and Schwarzschild-de Sitter interior metric for a spherical fluid with constant density. The fluid interior may…