On the spectral analysis of quantum electrodynamics with spatial cutoffs. I
Journal Article
·
· Journal of Mathematical Physics
- Faculty of Mathematics, Kyushu University, Fukuoka 812-8581 (Japan)
In this paper, we consider the spectrum of a model in quantum electrodynamics with a spatial cutoff. It is proven that (1) the Hamiltonian is self-adjoint; (2) under the infrared regularity condition, the Hamiltonian has a unique ground state for sufficiently small values of coupling constants. The spectral scattering theory is studied as well and it is shown that asymptotic fields exist and the spectral gap is closed.
- OSTI ID:
- 21294166
- Journal Information:
- Journal of Mathematical Physics, Vol. 50, Issue 6; Other Information: DOI: 10.1063/1.3133885; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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