28 citations · 140 across the 26 of their papers we have counts for
26 papers
Zero-Point Energy of a Scalar Field in -Deformed Euclidean Space
Hartmut Wachter
We examine the energy of a scalar field in its ground state within -deformed Euclidean space. Specifically, we compute the total vacuum energy of the entire -deformed Euclide…
Tutorial on one-dimensional -Fourier transforms
Hartmut Wachter
This paper is an introductory text to the theory of -deformed Fourier transforms, as first discussed by Rogov and Olshanetsky. We derive the well-known results in detail, presen…
Scattering of a particle on the -deformed Euclidean space
Hartmut Wachter
We develop a formalism for the scattering of a particle on the -deformed Euclidean space. We write down -versions of the Lippmann-Schwinger equation. Their iterative solution…
Klein-Gordon equation in -deformed Euclidean space
Hartmut Wachter
We introduce -versions of the Klein-Gordon equation in the three-dimensional -deformed Euclidean space. We determine plane wave solutions to our -deformed Klein-Gordon equ…
Conservation laws for a -deformed nonrelativistic particle
Hartmut Wachter
We derive -versions of Green's theorem from the Leibniz rules of partial derivatives for the -deformed Euclidean space. Using these results and the Schrödinger equations for…
Nonrelativistic one-particle problem on -deformed Euclidean space
Hartmut Wachter
We consider time-dependent Schrödinger equations for a free nonrelativistic particle on the three-dimensional -deformed Euclidean space. We determine plane wave solutions to the…