On the spectral analysis of quantum electrodynamics with spatial cutoffs. I.

被引：12
|
作者：
Takaesu, Toshimitsu [1 ]
机构：
[1] Kyushu Univ, Fac Math, Fukuoka 8128581, Japan
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 06期
关键词：
RELATIVISTIC BOUND-STATES; QUANTIZED RADIATION-FIELD; PAULI-FIERZ HAMILTONIANS; GROUND-STATES; SCATTERING-THEORY; MODELS; EXISTENCE;
D O I：
10.1063/1.3133885
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3133885]
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页数：28
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