Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin
Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin
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带自旋的 Pauli-Fierz 哈密顿量的基态简并
DOI：
10.4310/atmp.2001.v5.n6.a4
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发表时间：
2002
影响因子：
1.5
通讯作者：
Herbert Spohn
中科院分区：
文献类型：
--
作者：
Fumio Hiroshima;Herbert Spohn
我们考虑一个电子，自旋1/2，最低限度地耦合到量子化的辐射场的非相对论近似，一种情况下定义的保利-菲耶兹哈密顿$H$。根据总动量p，没有外部势和H纤维。我们证明了当电荷e和总动量p足够小时，总动量为p的H的基态子空间是二重简并的.我们还建立了基态子空间的总角动量为$\pm 1/2$，并研究了限制外势的情况。
We consider an electron, spin 1/2, minimally coupled to the quantized radiation field in the nonrelativistic approximation, a situation defined by the Pauli-Fierz Hamiltonian $H$. There is no external potential and $H$ fibers according to the total momentum $p$. We prove that the ground state subspace of $H$ with a total momentum $p$ is two-fold degenerate provided the charge $e$ and the total momentum $p$ are sufficiently small. We also establish that the total angular momentum of the ground state subspace is $\pm1/2$ and study the case of a confining external potential.