Enhanced Binding Through Coupling to a Quantum Field
Enhanced Binding Through Coupling to a Quantum Field
复制标题
通过耦合到量子场增强结合
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
H. Spohn
中科院分区：
文献类型：
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作者：
F. Hiroshima;H. Spohn
抽象的。在偶极近似下，我们考虑了一个耦合到量子化辐射场的电子。即使哈密顿量在零耦合时没有基态，
$α=0$时，与量子化辐射场的相互作用可以诱导结合。在适当的外势假设下，我们证明了存在一个临界常数
$α_*geq 0$使得哈密顿量对任意
$Midalphamidandgt；Alpha_*$。此外，还给出了一个显式下界
$Alpha_c$Of
给出了$Alpha_*$ä。
Abstract. We consider an electron coupled to the quantized radiation field in the dipole approximation. Even if the Hamiltonian has no ground state at zero coupling,
$ alpha = 0 $, the interaction with the quantized radiation field may induce binding. Under suitable assumptions on the external potential, we prove that there exists a critical constant
$ alpha_* geq 0 $ such that the Hamiltonian has a unique ground state for arbitrary
$ midalphamid > alpha_* $. Moreover an explicit lower bound
$ alpha_c $ of
$ alpha_* $¶ is given.