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Ground States in Non-relativistic Quantum Electrodynamics

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arxiv math-ph/0007014 v2 pith:TYIPQBAW submitted 2000-07-11 math-ph hep-thmath.MP

classification math-phhep-thmath.MP
keywords groundparticlestateschargedconditionsconstantcutoffdecay
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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\"odinger 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model

    math-ph 2025-01 conditional novelty 8.0 of 10

    Infrared-divergent spin boson model loses its ground state above a finite critical coupling, proved via long range order in a dual continuum Ising model.

  2. Spectral Analysis of a Soft Quantum Waveguide Coupled to a Massive Quantum Scalar Field

    math-ph 2026-07 conditional novelty 6.0 of 10

    For a Nelson-type Hamiltonian on a soft quantum waveguide, the essential spectrum of the curved guide is a half-line whose threshold combines the straight-guide ionization threshold and the one-boson mass; a negative ...

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