Fachbereich Mathematik

Particle creation and annihilation at interior boundaries: one-dimensional models

Stefan Keppeler, Martin Sieber

J. Phys. A 49 (2016) 125204
[doi:10.1088/1751-8113/49/12/125204 | arXiv:1511.03071]


Particle creation and annihilation at interior boundaries: One-dimensional models

Zusammenfassung

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.