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A new, relativistically covariant, massive Lorentz Electrodynamics (LED) is presented in which the bare particle has a finite positive bare rest mass and moment of inertia. The particle's electromagnetic self-interaction renormalizes its…

Mathematical Physics · Physics 2009-10-31 Walter Appel , Michael K. -H. Kiessling

Ultraviolet self-interaction energies in field theory sometimes contain meaningful physical quantities. The self-energies in such as classical electrodynamics are usually subtracted from the rest mass. For the consistent treatment of…

General Physics · Physics 2018-04-24 Kimichika Fukushima , Hikaru Sato

We compute the isotope shifts of the \emph{total} electron binding energy of neutral atoms and singly charged ions up to element $Z=120$, using relativistic Hartree-Fock method including the Breit interaction. Field shift coefficients are…

Atomic Physics · Physics 2025-07-30 V. A. Dzuba , V. V. Flambaum

We present relativistic many-body calculations of total electron binding energy of neutral atoms up to element $Z=120$. Binding energy for ions may be found by subtracting known ionization potentials. Accuracy of the results for $17<Z…

Atomic Physics · Physics 2025-03-25 V. A. Dzuba , V. V. Flambaum , A. V. Afanasjev

Due to the nonvanishing average photon population of the squeezed vacuum state, finite corrections to the scattering matrix are obtained. The lowest order contribution to the electron mass shift for a one mode squeezed vacuum state is given…

High Energy Physics - Theory · Physics 2016-09-06 Volkmar Putz , Karl Svozil

The quasiparticle dynamics of electrons in a magnetically ordered state is investigated by high-resolution angle-resolved photoemission of Ni(110) at 10 K. The self-energy is extracted for high binding energies reaching up to 500 meV, using…

Strongly Correlated Electrons · Physics 2015-05-13 A. Hofmann , X. Y. Cui , J. Schaefer , S. Meyer , P. Hoepfner , C. Blumenstein , M. Paul , L. Patthey , E. Rotenberg , J. Buenemann , F. Gebhard , T. Ohm , W. Weber , R. Claessen

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…

Mathematical Physics · Physics 2009-10-31 Marcel Griesemer , Elliott H. Lieb , Michael Loss

It is shown that at least one particle is bound in the $N$-particle semi-relativistic Pauli-Fierz model with negative potential $V(\bx)$. It is assumed that the particles have no spin and obey the Bose or Boltzmann statistics, and the one…

Mathematical Physics · Physics 2013-03-26 Itaru Sasaki

We revisit the nonrelativistic problem of a bound, charged particle subject to the random zero-point radiation field (ZPF), with the purpose of revealing the mechanism that takes it from the initially classical description to the final…

Quantum Physics · Physics 2022-03-23 Ana María Cetto , Luis de la Peña

We examine the binding conditions for atoms in non-relativistic QED, and prove that removing one electron from an atom requires a positive energy. As an application, we establish the existence of a ground state for the Helium atom.

Mathematical Physics · Physics 2015-06-26 Jean-Marie Barbaroux , Thomas Chen , Semjon Vugalter

Within the framework of nonrelativistic QED, we prove that, for small values of the coupling constant, the energy function, E_|P|, of a dressed electron is twice differentiable in the momentum P in a neighborhood of P = 0. Furthermore,…

Mathematical Physics · Physics 2010-01-15 Juerg Froehlich , Alessandro Pizzo

A systematic formalism for quantum electrodynamics in a classical uniform magnetic field is discussed. The first order radiative correction to the ground state energy of an electron is calculated. This then leads to the anomalous magnetic…

High Energy Physics - Theory · Physics 2007-05-23 Jun Suzuki

In this review we consider two different models of a hydrogenic atom in a quantized electromagnetic field that treat the electron relativistically. The first one is a no-pair model in the free picture, the second one is given by the…

Mathematical Physics · Physics 2014-02-11 Martin Könenberg , Oliver Matte , Edgardo Stockmeyer

In this paper the nonperturbative analysis of the spectrum for one-particle excitations of the electron-positron field (EPF) is considered in the paper. A standard form of the quantum electrodynamics (QED) is used but the charge of the…

High Energy Physics - Theory · Physics 2007-05-23 I. D. Feranchuk

The renormalization of the effective field theories (EFTs) in many-body systems is the most pressing and challenging problem in modern nuclear ab initio calculation. For general non-relativistic EFTs, we prove that the renormalization group…

Nuclear Theory · Physics 2023-08-29 Bing-Nan Lu , Bao-Ge Deng

We present an improved action for Pionless Effective Field Theory (EFT). Previous formulations of renormalizable nuclear EFTs have encountered instabilities in systems with more than four nucleons. We resolve this issue by introducing a…

Nuclear Theory · Physics 2025-05-15 L. Contessi , M. Schäfer , A. Gnech , A. Lovato , U. van Kolck

We formulate a non-relativistic quantum field theory to model interactions between quantized electromagnetic fields and localized charge-current distributions. The electronic degrees of freedom are encoded in microscopic polarization and…

Atomic Physics · Physics 2023-04-05 Jason G. Kattan , J. E. Sipe

We prove that the ground state energy of an atom confined to two dimensions with an infinitely heavy nucleus of charge $Z>0$ and $N$ quantum electrons of charge -1 is $E(N,Z)=-{1/2}Z^2\ln Z+(E^{\TF}(\lambda)+{1/2}c^{\rm H})Z^2+o(Z^2)$ when…

Mathematical Physics · Physics 2011-06-17 Phan Thanh Nam , Fabian Portmann , Jan Philip Solovej

A model-operator approach to fully relativistic calculations of the nuclear recoil effect on energy levels in many-electron atomic systems is worked out. The one-electron part of the model operator for treating the normal mass shift beyond…

Boundary dependent corrections to the spin energy eigenvalues of an electron in a weak magnetic field and confined by a harmonic trapping potential are investigated. The electromagnetic field is quantized through a normal mode expansion…

Quantum Physics · Physics 2014-04-17 Robert Bennett , Claudia Eberlein