The Canonical Transformation for an Electron-Positron Field Coupled to a Time-Independent Electromagnetic Field

1953 ◽  
Vol 89 (1) ◽  
pp. 115-122 ◽  
Author(s):  
H. E. Moses
Keyword(s):  
Electromagnetic Field ◽  
Canonical Transformation ◽  
Electron Positron

On the multipole expansion in the theory of optical activity

1976 ◽  
Vol 54 (5) ◽  
pp. 471-474 ◽  
Author(s):  
J. Van Kranendonk ◽  
J. E. Sipe
Keyword(s):  
Electromagnetic Field ◽  
Optical Activity ◽  
Canonical Transformation ◽  
Multipole Expansion ◽  
Isotropic Media

The different Hamiltonians for a molecule interacting with the electromagnetic field, which have been used in the literature on the optical activity of isotropic media, are shown to be related by a canonical transformation and hence to be equivalent. Because of its greater simplicity, the use of the multipole Hamiltonian in the theory of optical activity is advocated.

scholarly journals Electron–positron pair production in the external electromagnetic field of colliding relativistic heavy ions

2002 ◽  
Vol 23 (3) ◽  
pp. 545-550 ◽  
Author(s):  
A. Aste ◽  
G. Baur ◽  
K. Hencken ◽  
D. Trautmann ◽  
G. Scharf
Keyword(s):  
Electromagnetic Field ◽  
Pair Production ◽  
Heavy Ions ◽  
External Electromagnetic Field ◽  
Relativistic Heavy Ions ◽  
Electron Positron ◽  
Electron Positron Pair

Resonant production of electron-positron pairs by a hard gamma-ray on a nucleus in an external electromagnetic field

2020 ◽  
Vol 35 (03) ◽  
pp. 2040025 ◽  
Author(s):  
Nikita R. Larin ◽  
Victor V. Dubov ◽  
Sergei P. Roshchupkin
Keyword(s):  
Electromagnetic Field ◽  
Differential Cross Section ◽  
External Field ◽  
Cross Section ◽  
Differential Cross ◽  
Gamma Ray ◽  
Structure Constant ◽  
External Electromagnetic Field ◽  
Electron Positron ◽  
Resonant Production

The resonant production of electron-positron pairs by a hard gamma-ray on nucleus in an external electromagnetic field is studied theoretically. The main property of this process is that the initial process of the second order in the fine structure constant in an external field effectively splits into two successive processes of the first order due to the fact that in resonant conditions intermediate virtual electron (positron) becomes a real particle. One of these processes is a single-photoproduction of electron-positron pair in a laser field (laser-stimulated Breit-Wheeler process) another is a laser-assisted scattering of electron (positron) on nucleus (laser-assisted Mott scattering). It is shown that the resonances are possible only for the energies of the initial hard gamma-ray more than the characteristic threshold energy. Resonant differential cross section of this process is obtained. It is shown that the resonant differential cross section can significantly exceed the corresponding cross section without an external field. The obtained results may be experimentally verified using the facilities of pulsed laser radiation (SLAC, FAIR, XFEL, ELI, XCELS).

An effective equation for describing the decay of an electron-positron vacuum in an intense electromagnetic field

2012 ◽  
Vol 76 (3) ◽  
pp. 272-275 ◽  
Author(s):  
R. Kh. Gainutdinov ◽  
A. A. Mutydullina ◽  
M. A. Khamadeev
Keyword(s):  
Electromagnetic Field ◽  
Effective Equation ◽  
Electron Positron

Resonant annihilation and production of high-energy electron-positron pairs in an external electromagnetic field

2020 ◽  
Vol 35 (03) ◽  
pp. 2040023 ◽  
Author(s):  
D. V. Doroshenko ◽  
V. V. Dubov ◽  
S. P. Roshchupkin
Keyword(s):  
Electromagnetic Field ◽  
Cross Section ◽  
Threshold Energy ◽  
External Electromagnetic Field ◽  
High Energy ◽  
Energy Electron ◽  
High Energy Electron ◽  
Annihilation Channel ◽  
Positron Scattering ◽  
Electron Positron

A resonant process of annihilation and production of high-energy electron-positron pairs in an external electromagnetic field is studied theoretically. This process is the annihilation channel of an electron-positron scattering. It is shown that the resonance in an external electromagnetic field is possible only when the certain combination of electron and positron initial energies is more than threshold energy. Also, the angle between initial electron and initial positron momenta directions must be small and satisfy the resonant conditions. This angle is determined by the high-energy of the initial pair and the threshold energy. An emerging electron-positron pair also flies out in a narrow cone along the direction of the initial pair and must be ultrarelativistic. For each fixed angle, energies of the final electron and positron can take from one to two values. It is shown that the resonant differential cross section can significantly exceed the corresponding Bhabha cross section without an external field.

Electron-positron pair production by a neutrino in an external electromagnetic field

1993 ◽  
Vol 318 (3) ◽  
pp. 489-491 ◽  
Author(s):  
A.V. Borisov ◽  
A.I. Ternov ◽  
V.Ch. Zhukovsky
Keyword(s):  
Electromagnetic Field ◽  
Pair Production ◽  
External Electromagnetic Field ◽  
Electron Positron ◽  
Electron Positron Pair

scholarly journals The Non-Relativistic Limit of the DKP Equation in Non-Commutative Phase-Space

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 223 ◽  
Author(s):  
Ilyas Haouam
Keyword(s):  
Electromagnetic Field ◽  
Phase Space ◽  
Dirac Equation ◽  
Linear Transformation ◽  
Canonical Transformation ◽  
External Electromagnetic Field ◽  
Pauli Equation ◽  
Relativistic Limit ◽  
Dkp Equation ◽  
Commutation Relations

The non-relativistic limit of the relativistic DKP equation for both of zero and unity spin particles is studied through the canonical transformation known as the Foldy–Wouthuysen transformation, similar to that of the case of the Dirac equation for spin-1/2 particles. By considering only the non-commutativity in phases with a non-interacting fields case leads to the non-commutative Schrödinger equation; thereafter, considering the non-commutativity in phase and space with an external electromagnetic field thus leads to extract a phase-space non-commutative Schrödinger–Pauli equation; there, we examined the effect of the non-commutativity in phase-space on the non-relativistic limit of the DKP equation. However, with both Bopp–Shift linear transformation through the Heisenberg-like commutation relations, and the Moyal–Weyl product, we introduced the non-commutativity in phase and space.

scholarly journals Quantum electrodynamics in intense laser fields

1991 ◽  
Vol 9 (2) ◽  
pp. 603-618 ◽  
Author(s):  
W. Becker
Keyword(s):  
Refractive Index ◽  
Electromagnetic Field ◽  
Quantum Electrodynamics ◽  
Laser Field ◽  
Intense Laser ◽  
Intense Laser Fields ◽  
Intense Laser Field ◽  
Electron Positron ◽  
Spacetime Region ◽  
Virtual Pairs

A very intense laser field polarizes the virtual electron-positron pairs that populate the vacuum. This provides for a coupling between different modes of the electromagnetic field, giving rise to effects such as scattering of light by light, a refractive index of the vacuum, vacuum birefringence, etc. Given enough energy in a sufficiently small spacetime region, the virtual pairs can become real, which leads to pair production in the intense field under the action of a third agent. These, as well as related effects, are summarized with respect to their orders of magnitude and conditions under which they might become accessible to experiment. Some other processes that are normally mentioned in this context, such as Thomson (Compton) scattering at high intensities, are considered, too, even though they are unrelated to the vacuum structure of quantum electrodynamics.

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