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math-phJul 1, 2020
5
citations (OpenAlex)
authors
  • David Hasler
  • Oliver Siebert
institutions
  • Friedrich Schiller University Jena
arXiv abstractPDF
paper

Ground States for translationally invariant Pauli-Fierz Models at zero Momentum

arXiv:2007.01250 · doi:10.1016/j.jfa.2022.109725

Abstract

We consider the translationally invariant Pauli-Fierz model describing a charged particle interacting with the electromagnetic field. We show under natural assumptions that the fiber Hamiltonian at zero momentum has a ground state.

References in corpus (8)

  • Ground States in Non-relativistic Quantum Electrodynamics
  • On the self-adjointness and domain of Pauli-Fierz type Hamiltonians
  • Infraparticle Scattering States in Non-Relativistic QED: II. Mass Shell Properties
  • Ground States in the Spin Boson Model
  • Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED
  • Quantitative estimates on the Hydrogen ground state energy in non-relativistic QED
  • Pauli-Fierz type operators with singular electromagnetic potentials on general domains
  • On Asymptotic Expansions in Spin Boson Models

Cited by in corpus (4)

  • On Existence of Ground States in the Spin Boson Model
  • Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
  • A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
  • Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED
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