The confined hydrogenoid ion in non-relativistic quantum electrodynamics

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Abstract

We consider a system of a nucleus with an electron together with the quantized electromagnetic field. Instead of fixing the nucleus, the system is confined by its center of mass. This model is used in theoretical physics to explain the Lamb-Dicke effect. (see [5]). When an ultraviolet cut-off is imposed we initiate the spectral analysis of the Hamiltonian describing the system and we derive the existence of a ground state. This is achieved without condition on the fine structure constant.

Keywords

Quantum electrodynamics
  • Laurent Amour Laboratoire de Mathématiques, UMR-CNRS 6056, Université de Reims, Moulin de la Housse - BP 1039, 51687 REIMS Cedex 2, France.
  • Jérémy Faupin Laboratoire de Mathématiques, UMR-CNRS 6056, Université de Reims, Moulin de la Housse - BP 1039, 51687 REIMS Cedex 2, France.
  • Pages: 103–137
  • Date Published: 2007-08-01
  • Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal

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Published

2007-08-01

How to Cite

[1]
L. Amour and J. Faupin, “The confined hydrogenoid ion in non-relativistic quantum electrodynamics”, CUBO, vol. 9, no. 2, pp. 103–137, Aug. 2007.

Issue

Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal

Section

Articles