Ground states in non-relativistic quantum electrodynamics

Marcel Griesemer; Elliott H. Lieb; Michael Loss

doi:10.1007/3-540-27056-6_41

Ground states in non-relativistic quantum electrodynamics

Marcel Griesemer
, Elliott H. Lieb
, Michael Loss

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

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.

Original language	English (US)
Title of host publication	The Stability of Matter
Subtitle of host publication	From Atoms to Stars: Fourth Edition
Publisher	Springer Berlin Heidelberg
Pages	625-663
Number of pages	39
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_41
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_41

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title = "Ground states in non-relativistic quantum electrodynamics",

abstract = "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 Schr{\"o}dinger 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.",

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T1 - Ground states in non-relativistic quantum electrodynamics

AU - Griesemer, Marcel

AU - Lieb, Elliott H.

AU - Loss, Michael

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84892347219

UR - https://www.scopus.com/pages/publications/84892347219#tab=citedBy

U2 - 10.1007/3-540-27056-6_41

DO - 10.1007/3-540-27056-6_41

M3 - Chapter

AN - SCOPUS:84892347219

SN - 3540420835

SN - 9783540222125

SP - 625

EP - 663

BT - The Stability of Matter

PB - Springer Berlin Heidelberg

ER -

Ground states in non-relativistic quantum electrodynamics

Abstract

All Science Journal Classification (ASJC) codes

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