DERIVATION OF THE LAMB SHIFT FORMULA FOR NON-S-STATES WITHOUT APPLYING THE CONCEPT OF RELATIVISTIC QUANTUM ELECTRODYNAMICS

1995 ◽  
Vol 09 (09) ◽  
pp. 537-542 ◽  
Author(s):  
J. SEKE
Keyword(s):  
Dirac Equation ◽  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Relativistic Quantum ◽  
Nonrelativistic Quantum ◽  
Second Quantization ◽  
First Time ◽  
S States

It is shown, for the first time to our knowledge, that the standard Lamb shift formula for non-S-states of hydrogenic atoms can be derived by applying the methods of nonrelativistic quantum electrodynamics and without using the Dirac equation and the second quantization for the electron.

NONRELATIVISTIC LAMB-SHIFT CALCULATIONS FOR S-STATES OF HYDROGENIC ATOMS

1995 ◽  
Vol 09 (20) ◽  
pp. 1289-1295
Author(s):  
J. SEKE
Keyword(s):  
Dirac Equation ◽  
Radiation Field ◽  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Nonrelativistic Quantum ◽  
Second Quantization ◽  
Field Interaction ◽  
First Time ◽  
S States

It is shown, for the first time to our knowledge, that the Lamb shift for S-states of hydrogenic atoms can be almost completely calculated by applying the methods of nonrelativistic quantum electrodynamics and without using the Dirac equation and the second quantization for the electron. By taking into account the spin-radiation-field interaction the Lamb shift to order of α5 is calculated for different S-states.

The Lorentz gauge in non-relativistic quantum electrodynamics

1982 ◽  
Vol 383 (1785) ◽  
pp. 485-502 ◽  
Keyword(s):  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Coulomb Energy ◽  
Indefinite Metric ◽  
Longitudinal Field ◽  
Lorentz Gauge ◽  
Transverse And Longitudinal Components ◽  
Relativistic Electrodynamics

It is shown how the conventional Lagrangian of non-relativistic electrodynamics leads to a theory in the Lorentz gauge where the scalar potential is treated on an equal footing with the transverse and longitudinal components of the vector potential. This requires the introduction of an indefinite metric as in the Gupta-Bleuler method. Calculations based on this approach with the use of ordinary perturbation theory for the free-space Lamb-shift of hydrogen are shown to exhibit remarkable exact cancellations between parts of the contribution arising from the scalar field and the entire contribution from the longitudinal field to order e 2 , and the result is in agreement with Bethe’s expression where only transverse photons are involved. The non-relativistic theory in the Lorentz gauge is also used to compute the order- e 2 potential on a charged particle outside a conductor where again similar exact cancellations are exhibited. The advantage of the formalism in the Lorentz gauge is emphasized in that it provides an unambiguous procedure for the evaluation of the leading Coulomb energy shifts particularly in the interaction of particles with the surfaces of active media where the Coulomb gauge may be problematical.

scholarly journals Some recent advances in bound-state quantum electrodynamics

2005 ◽  
Vol 83 (4) ◽  
pp. 375-386 ◽  
Author(s):  
U D Jentschura ◽  
J Evers
Keyword(s):  
Effective Field Theories ◽  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Recent Progress ◽  
Bound State ◽  
Effective Field ◽  
Field Theories ◽  
Nonrelativistic Quantum ◽  
Self Energy ◽  
Bound Electron

We discuss recent progress in various problems related to bound-state quantum electrodynamics: the bound-electron g factor, two-loop self-energy corrections, and the laser-dressed Lamb shift. The progress relies on various advances in the bound-state formalism, including ideas inspired by effective field theories such as nonrelativistic quantum electrodynamics. Radiative corrections in dynamical processes represent a promising field for further investigations. PACS Nos.: 31.15.–p, 12.20.Ds

scholarly journals Time evolution of the free Dirac field in spatially flat FLRW space–times

2020 ◽  
Vol 35 (32) ◽  
pp. 2030019
Author(s):  
Ion I. Cotăescu
Keyword(s):  
Dirac Equation ◽  
Rest Frame ◽  
Relativistic Quantum ◽  
Fundamental Solutions ◽  
Relativistic Quantum Mechanics ◽  
Dirac Field ◽  
De Sitter ◽  
Spherical Waves ◽  
New Type ◽  
First Time

The framework of the relativistic quantum mechanics on spatially flat FLRW space–times is considered for deriving the analytical solutions of the Dirac equation in different local charts of these manifolds. Systems of commuting conserved operators are used for determining the fundamental solutions as common eigenspinors giving thus physical meaning to the integration constants related to the eigenvalues of these operators. Since these systems, in general, are incomplete on the FLRW space–times there are integration constants that must be fixed by setting the vacuum either as the traditional adiabatic one or as the rest frame vacuum we proposed recently. All the known solutions of the Dirac equation on these manifolds are discussed in all details and a new type of spherical waves of given energy in the de Sitter expanding universe is reported here for the first time.

scholarly journals Reduced Dirac equation and Lamb shift as off-mass-shell effect in quantum electrodynamics

2011 ◽  
Vol 20 (2) ◽  
pp. 020302 ◽  
Author(s):  
Guang-Jiong Ni ◽  
Jian-Jun Xu ◽  
Sen-Yue Lou
Keyword(s):  
Dirac Equation ◽  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Mass Shell ◽  
Shell Effect
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