The Nature of the Photon and Quantum Optics

2018 ◽  
pp. 4-13 ◽  
Author(s):  
Boris A. Veklenko
Keyword(s):  
Electromagnetic Field ◽  
Quantum Electrodynamics ◽  
Quantitative Description ◽  
Wave Functions ◽  
Second Quantization ◽  
Interaction Processes ◽  
Quantized Field ◽  
Transverse Electromagnetic ◽  
Set Up ◽  
Number Of Particles

In a concise, but accessible for the first acquaintance form the procedure for the quantization of linear oscillator is set out. By analogy with this procedure the procedure of quantization (second quantization) of classical Maxwell’s electrodynamics is set up. The physical sense of the wave functions arguments of transverse electromagnetic field and its Fourier transformation is set up. One pay attention as for quantum coherent (almost a classic) states of the electromagnetic field and for photonics Fock states. Attention is drawn to the fact of absence the power of the universal content of such concepts as field amplitude, phase and number of particles (photons), which are used by experimenter’s to describe the states of a quantized field. The semi quantitative description the interaction processes of a quantum electromagnetic field with substance is set up. Specified situations are shown in which the discrepancy between the predictions of classical and quantum electrodynamics is noticeable at the macroscopic level.

scholarly journals On relativistic wave equations for particles of arbitrary spin in an electromagnetic field

1939 ◽  
Vol 173 (953) ◽  
pp. 211-232 ◽  
Keyword(s):  
Electromagnetic Field ◽  
Wave Equations ◽  
Energy Momentum Tensor ◽  
External Electromagnetic Field ◽  
Arbitrary Spin ◽  
Momentum Tensor ◽  
Relativistic Wave Equations ◽  
Relativistic Wave ◽  
Second Quantization ◽  
Set Up

The investigations of Dirac (1936) on relativistic wave equations for particles with arbitrary spin have recently been followed up by one of us (Fierz, 1939, referred to as (A)) It was there found possible to set up a scheme of second quantization in the absence of an external field, and to derive expressions for the current vector and the energy-momentum tensor. These considerations will be extended in the present paper to the case when there is an external electromagnetic field, but we shall in the first instance disregard the second quantization and confine ourselves to a c -number theory. The difficulty of this problem is illustrated by the fact that the most immediate method of taking into account the effect of the electromagnetic field, proposed by Dirac (1936), leads to inconsistent equations as soon as the spin is greater than 1.

Energy, Information, and Superluminal Speed in Quantum Electrodynamics

2020 ◽  
pp. 27-33
Author(s):  
Boris A. Veklenko
Keyword(s):  
Electromagnetic Field ◽  
Perturbation Theory ◽  
Quantum Electrodynamics ◽  
Excited Atom ◽  
Standard Quantum ◽  
Energy Information

Without using the perturbation theory, the article demonstrates a possibility of superluminal information-carrying signals in standard quantum electrodynamics using the example of scattering of quantum electromagnetic field by an excited atom.

scholarly journals Exponential parameterization of wave functions for quantum dynamics: Time-dependent Hartree in second quantization

2018 ◽  
Vol 149 (13) ◽  
pp. 134110 ◽  
Author(s):  
Niels Kristian Madsen ◽  
Mads Bøttger Hansen ◽  
Alberto Zoccante ◽  
Kasper Monrad ◽  
Mikkel Bo Hansen ◽  
...  
Keyword(s):  
Quantum Dynamics ◽  
Wave Functions ◽  
Time Dependent ◽  
Second Quantization ◽  
Exponential Parameterization

scholarly journals Quantum electrodynamics with self-conjugated equations with spinor wave functions for fermion fields

2021 ◽  
pp. 2150086
Author(s):  
V. P. Neznamov ◽  
V. E. Shemarulin
Keyword(s):  
Cross Sections ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Wave Functions ◽  
Self Energy ◽  
Fermion Fields ◽  
Spinor Wave

Quantum electrodynamics (QED) with self-conjugated equations with spinor wave functions for fermion fields is considered. In the low order of the perturbation theory, matrix elements of some of QED physical processes are calculated. The final results coincide with cross-sections calculated in the standard QED. The self-energy of an electron and amplitudes of processes associated with determination of the anomalous magnetic moment of an electron and Lamb shift are calculated. These results agree with the results in the standard QED. Distinctive feature of the developed theory is the fact that only states with positive energies are present in the intermediate virtual states in the calculations of the electron self-energy, anomalous magnetic moment of an electron and Lamb shift. Besides, in equations, masses of particles and antiparticles have the opposite signs.

A note on Riesz potential

1951 ◽  
Vol 47 (2) ◽  
pp. 436-442 ◽  
Author(s):  
F. C. Auluck ◽  
L. S. Kothari
Keyword(s):  
Electromagnetic Field ◽  
Recent Work ◽  
Quantum Electrodynamics ◽  
Fourier Expansion ◽  
Riesz Potential ◽  
Arbitrary Parameter ◽  
Electromagnetic Potentials ◽  
Longitudinal Part ◽  
Definition Of

The object of the present paper is to discuss the Fourier expansion of the Riesz potential. For this purpose a new definition of the electromagnetic potentials, depending upon an arbitrary parameter α is given. It is shown that this definition is a generalization of the Wentzel potentials in the α-plane, whereas that given by Fremberg (3) is a generalization of the Maxwell potentials. The analysis is applied to the problem of eliminating, in a straightforward way, the longitudinal part of the potential describing the electromagnetic field. The problem of the quantization of the field, based on its Fourier expansion, will be considered in another paper. The recent work of Tomonaga, Schwinger and Dyson, and the regularization process of Pauli has lifted the theory of quantum electrodynamics to a much higher level of rigour and fruitful applicability. All the same, a further study of Riesz potential seems to us of some interest in this field.

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