Projects per year
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.
Original language | English |
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Article number | 125204 |
Number of pages | 27 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 49 |
Issue number | 12 |
DOIs | |
Publication status | Published - 11 Feb 2016 |
Keywords
- particle creation and annihilation
- boundary condition
- semiclassical methods
- spectral functions
- quantum graphs
Fingerprint
Dive into the research topics of 'Particle creation and annihilation at interior boundaries: One-dimensional models'. Together they form a unique fingerprint.Projects
- 2 Finished
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Bristol Consolidated Grant 2015-9
Goldstein, J. (Principal Investigator)
1/10/15 → 31/03/21
Project: Research
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Consolidated Grant 2012-16
Newbold, D. M. (Principal Investigator) & Rademacker, J. H. (Researcher)
1/10/12 → 1/10/16
Project: Research
Profiles
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Dr Martin M A Sieber
- School of Mathematics - Reader in Applied Mathematics
- Applied Mathematics
- Mathematical Physics
Person: Academic , Member