On the Non-relativistic Limit of a Model in Quantum Electrodynamics
نویسنده
چکیده
We consider a (semi-)relativistic spin-1/2 particle interacting with quantized radiation. The Hamiltonian has the form Ĥ c := {c2[(p + A) +σ ·B] + (mc2)2}1/2 −mc2 +V +Hf . Assuming that the potential |V | is bounded with respect to the momentum |p|, we show that Ĥ c converges in norm-resolvent sense to the usual Pauli-Fierz operator when c, the speed of light, tends to ∞.
منابع مشابه
Dynamical evolution of nonclassical properties in cavity quantum electrodynamics with a single trapped ion
In this paper, by considering a system consisting of a single two-level trapped ion interacting with a single-mode quantized radiation field inside a lossless cavity, the temporal evolution of the ionic and the cavity-field quantum statistical properties including photon-counting statistics, quantum fluctuations of the field quadratures and quantum fluctuations of the ionic dipole variables are...
متن کامل/ 96 03 42 4 v 1 2 8 M ar 1 99 6 Feynman integral in regularized non - relativistic quantum electrodynamics
We express the unitary time evolution in non-relativistic regularized quantum electrodynamics at zero and positive temperature by a Feynman integral defined in terms of a complex Brownian motion. An average over the quantum electromagnetic field determines the form of the quantum mechanics in an environment of a quantum black body radiation. In this non-perturbative formulation of quantum elect...
متن کاملNon-Relativistic Limit of Neutron Beta-Decay Cross-Section in the Presence of Strong Magnetic Field
One of the most important reactions of the URCA that lead to the cooling of a neutron star, is neutron beta-decay ( ). In this research, the energy spectra and wave functions of massive fermions taking into account the Anomalous Magnetic Moment (AMM) in the presence of a strong changed magnetic field are calculated. For this purpose, the Dirac-Pauli equation for charged and neutral fermions is ...
متن کاملA Non-Demolition Photon Counting Method by Four-Level Inverted Y-Type Atom
The semi-classical model of atom-field interaction has been fully studied for some multilevel atoms, e.g. Vee, L, Cascade X , Y, and inverted Y and so on. This issue is developed into the full-quantum electrodynamics formalism, where the probe and coupling electromagnetic fields are quantized. In this article, we investigate the full-quantum model of absorption and dispersion spectrum of trappe...
متن کاملSpectral Renormalization Group and Local Decay in the Standard Model of the Non-relativistic Quantum Electrodynamics
We prove the limiting absorption principle for the standard model of the non-relativistic quantum electrodynamics (QED) and for the Nelson model describing interactions of electrons with phonons. To this end we use the spectral renormalization group technique on the continuous spectrum in conjunction with the Mourre theory.
متن کامل