The quantum electrodynamics of relativistic bound states with cutoffs. I
The quantum electrodynamics of relativistic bound states with cutoffs. I
复制标题
带截止的相对论束缚态的量子电动力学。
DOI：
10.1016/s0893-9659(03)00035-1
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
J. Guillot
中科院分区：
文献类型：
--
作者：
M. Dimassi;J. Guillot
本文考虑了描述库仑势中相对论电子、正电子与库仑规范中横截光子相互作用的具有紫外和红外截止的哈密顿量。我们证明了哈密顿量在Fock空间中是自伴的，并且对于足够小的耦合常数具有基态。
In this note, we consider a Hamiltonian with ultraviolet and infrared cutoffs describing the interaction of relativistic electrons and positrons in a Coulomb potential with transversal photons in Coulomb gauge. We prove that the Hamiltonian is self-adjoint in the Fock space and has a ground state for a sufficiently small coupling constant.