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Particle creation and annihilation at interior boundaries: One-dimensional models
- Source :
- J. Phys. A 49 (2016) 125204
- Publication Year :
- 2015
-
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.<br />Comment: 32 pages
Details
- Database :
- arXiv
- Journal :
- J. Phys. A 49 (2016) 125204
- Publication Type :
- Report
- Accession number :
- edsarx.1511.03071
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8113/49/12/125204