Functional Integral Representation of a Model in Quantum Electrodynamics
Functional Integral Representation of a Model in Quantum Electrodynamics
复制标题
量子电动力学模型的函数积分表示
DOI：
10.1142/s0129055x97000208
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发表时间：
1997
影响因子：
1.8
通讯作者：
F. Hiroshima
中科院分区：
文献类型：
--
作者：
F. Hiroshima
本文给出了具有无穷小生成元的热半群的泛函积分表示，该表示由描述非相对论带电粒子与库仑规范中量子化辐射场相互作用的自伴哈密顿算子（Pauli-Fierz哈密顿算子）给出.利用泛函积分表示，得到了一些不等式，它们是具有经典向量势的有限维Schrodinger算子的不等式的无限次形式。
This paper presents functional integral representations for heat semigroups with infinitesimal generators given by self-adjoint Hamiltonians (Pauli–Fierz Hamiltonians) describing an interaction of a non-relativistic charged particle and a quantized radiation field in the Coulomb gauge without the dipole approximation. By the functional integral representations, some inequalities are derived, which are infinite degree versions of those known for finite dimensional Schrodinger operators with classical vector potentials.