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Ground States in Non-relativistic Quantum Electrodynamics

Marcel Griesemer·Elliott H. Lieb·Michael Loss
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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 {\it all values} of the fine-structure constant and ultraviolet cutoff. We also show the same thing for a many-particle system under physically natural conditions.

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Marcel Griesemer, Elliott H. Lieb, Michael Loss. 2001-03-02. Ground States in Non-relativistic Quantum Electrodynamics. https://doi.org/10.1007/s002220100159

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