Published March 29, 2016
| Version v1
Journal article
Particle creation and annihilation at interior boundaries: one-dimensional models
Creators
- 1. Fachbereich Mathematik, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen (Germany)
- 2. School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW (United Kingdom)
Description
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. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/49/12/125204Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 49
- Journal Issue
- 12
- Journal Page Range
- [27 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47067635
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANNIHILATION; BOUNDARY CONDITIONS; EIGENFUNCTIONS; GRAPH THEORY; GREEN FUNCTION; HAMILTONIANS; MATHEMATICAL SOLUTIONS; SPECTRA; SPECTRAL DENSITY
- Descriptors DEC
- FUNCTIONS; INTERACTIONS; MATHEMATICAL OPERATORS; MATHEMATICS; PARTICLE INTERACTIONS; QUANTUM OPERATORS; SPECTRAL FUNCTIONS