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

Stefan Keppeler; Martin M A Sieber

doi:10.1088/1751-8113/49/12/125204

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

Stefan Keppeler
, Martin M A Sieber

Research output: Contribution to journal › Article (Academic Journal) › peer-review

16 Citations (Scopus)

454 Downloads (Pure)

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
Article number	125204
Number of pages	27
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	49
Issue number	12
DOIs	https://doi.org/10.1088/1751-8113/49/12/125204
Publication status	Published - 11 Feb 2016

Keywords

particle creation and annihilation
boundary condition
semiclassical methods
spectral functions
quantum graphs

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10.1088/1751-8113/49/12/125204

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© 2016 IOP Publishinf Ltd.
Accepted author manuscript, 431 KB

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Bristol Consolidated Grant 2015-9
Goldstein, J. (Principal Investigator)
1/10/15 → 31/03/21
Project: Research
Consolidated Grant 2012-16
Newbold, D. M. (Principal Investigator) & Rademacker, J. H. (Researcher)
1/10/12 → 1/10/16
Project: Research

Dr Martin M A Sieber
- M.Sieberbristol.acuk
- School of Mathematics - Reader in Applied Mathematics
- Applied Mathematics
- Mathematical Physics
Person: Academic , Member

Cite this

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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.",

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AU - Sieber, Martin M A

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N2 - 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.

AB - 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.

KW - particle creation and annihilation

KW - boundary condition

KW - semiclassical methods

KW - spectral functions

KW - quantum graphs

U2 - 10.1088/1751-8113/49/12/125204

DO - 10.1088/1751-8113/49/12/125204

M3 - Article (Academic Journal)

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 12

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ER -

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

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Keywords

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Projects

Bristol Consolidated Grant 2015-9

Consolidated Grant 2012-16

Profiles

Dr Martin M A Sieber

Cite this