Particle creation and annihilation at interior boundaries: One-dimensional models
Mathematical Physics
2016-03-01 v1 High Energy Physics - Theory
math.MP
Chaotic Dynamics
Abstract
We describe creation and annihilation of particles at external sources in one spatial dimension in terms of interior-boundary conditions (IBCs). We derive explicit solutions for spectra, (generalised) eigenfunctions, as well as Green functions, spectral determinants, and integrated spectral densities. Moreover, we introduce a quantum graph version of IBC-Hamiltonians.
Cite
@article{arxiv.1511.03071,
title = {Particle creation and annihilation at interior boundaries: One-dimensional models},
author = {Stefan Keppeler and Martin Sieber},
journal= {arXiv preprint arXiv:1511.03071},
year = {2016}
}
Comments
32 pages