Ground states in non-relativistic quantum electrodynamics

被引：0

作者：

Marcel Griesemer

Elliott H. Lieb

Michael Loss

机构：

[1] Department of Mathematics,

[2] University of Alabama at Birmingham,undefined

[3] Birmingham,undefined

[4] AL 35294,undefined

[5] USA (e-mail: marcel@math.uab.edu),undefined

[6] Departments of Physics and Mathematics,undefined

[7] Jadwin Hall,undefined

[8] Princeton University,undefined

[9] P. O. Box 708,undefined

[10] Princeton,undefined

[11] NJ 08544,undefined

[12] USA (e-mail: lieb@princeton.edu),undefined

[13] School of Mathematics,undefined

[14] Georgia Tech,undefined

[15] Atlanta,undefined

[16] GA 30332,undefined

[17] USA (e-mail: loss@math.gatech.edu),undefined

来源：

Inventiones mathematicae | 2001年 / 145卷

关键词：

Photon Number; External Potential; Number Operator; Weak Derivative; Asymptotic Completeness;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The excited states of a charged particle interacting with the quantized electromagnetic field and an external potential all decay, but such a particle should have a true ground state – one that minimizes the energy and satisfies the Schrödinger equation. We prove quite generally that this state exists for all values of the fine-structure constant and the ultraviolet cutoff. We also show the same thing for a many-particle system under physically natural conditions.

引用

页码：557 / 595

页数：38

共 29 条

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