28 citations · 140 across the 26 of their papers we have counts for
7 papers · 1 filter
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…
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…
Non-relativistic Schroedinger theory on q-deformed quantum spaces III, Scattering theory
Hartmut Wachter
This is the third part of a paper about non-relativistic Schroedinger theory on q-deformed quantum spaces like the braided line or the three-dimensional q-deformed Euclidean space.…
Non-relativistic Schroedinger theory on q-deformed quantum spaces II, The free non-relativistic particle and its interactions
Hartmut Wachter
This is the second part of a paper about a q-deformed analog of non-relativistic Schroedinger theory. It applies the general ideas of part I and tries to give a description of one-…
Non-relativistic Schroedinger theory on q-deformed quantum spaces I, Mathematical framework and equations of motion
Hartmut Wachter
The aim of these three papers (I, II, and III) is to develop a q-deformed version of non-relativistic Schroedinger theory. Paper I introduces the fundamental mathematical and physi…
Quantum kinematics on q-deformed quantum spaces II, Wave functions on position and momentum space
Hartmut Wachter
The aim of Part II of this paper is to try to describe wave functions on q-deformed versions of position and momentum space. This task is done within the framework developed in Par…