One non-relativistic particle coupled to a photon field
One non-relativistic particle coupled to a photon field
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DOI：
10.1007/s00023-003-0128-6
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发表时间：
2003-01-01
影响因子：
1.5
通讯作者：
Hainzl, C
中科院分区：
文献类型：
--
作者：
Hainzl, C
研究了电子与光子场耦合的基态能量。首先，我们考虑一个“自由”电子的自能，我们用Pauli-Fierz哈密顿量来描述。我们表明，在耦合常数α值较小的情况下，首阶项由2 π api（-1）表示。（Lambda-ln [1 + Lambda]）.接下来，我们将电子置于任意外部势V的场中，使得相应的薛定谔算子p（2）+ V具有至少一个本征值，并且表明通过耦合到辐射场，结合能增加，至少对于耦合常数α的足够小的值。此外，我们提供了具体的数字，紫外截止λ，和辐射校正，我们的程序的工作。
We investigate the ground state energy of an electron coupled to a photon field. First, we regard the self-energy of a "free" electron, which we describe by the Pauli-Fierz Hamiltonian. We show that, in the case of small values of the coupling constant alpha, the leading order term is represented by 2alphapi(-1) (Lambda - ln[1 + Lambda]).Next we put the electron in the field of an arbitrary external potential V, such that the corresponding Schrodinger operator p(2) + V has at least one eigenvalue, and show that by coupling to the radiation field the binding energy increases, at least for small enough values of the coupling constant alpha. Moreover, we provide concrete numbers for a, the ultraviolet cut-off Lambda, and the radiative correction for which our procedure works.