Radiation by relativistic dipoles. IV

Bordovitsyn, V. A.; Gushchina, V. S.

doi:10.1007/bf00560240

Russ Phys J

1995

DOI: 10.1007/bf00560240

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Radiation by relativistic dipoles. IV

V. A. Bordovitsyn¹,

V. S. Gushchina²

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Cited by 3 publications

(2 citation statements)

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“…According to the uncertainty principle, for the spin-flip transition with the characteristic frequency of SR [1] we obtain…”

mentioning

confidence: 99%

“…What do the results obtained here to do with the spin-flip radiation theory? It is known [1,4] that in the classical theory spin or, more precisely, the intrinsic magnetic moment, orientated towards or opposite the field direction does not radiate during uniform and rectilinear particle motion. This radiation is accounted for by the spin precession in the plane orthogonal to the magnetic field and all radiation characteristics completely coincide with the quantum theory of spin-flip radiation [2].…”

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confidence: 99%

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Discussion on spin-flip synchrotron radiation

Bordovitsyn¹,

Gushchina²,

Myagkii³

1998

Nuclear Instruments and Methods in Physics Research Section A:

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Quantum spin-flip transitions are of great importance in the synchrotron radiation (SR) theory. For better understanding of the nature of this phenomenon, it is necessary to except the effects connected with the electric charge radiation from observation. This fact explains the suggested choice of the spin-flip radiation model in the form of radiation of the electric neutral Dirac-Pauli particle moving in the homogeneous magnetic field. It is known that in this case, the total radiation in the quantum theory is conditioned by spin-flip transitions. The idea is that spin-flip radiation is represented as a nonstationary process connected with spin precession. From this point of view, we shall shown how to construct a solution of the classical equation of spin precession in the BMT theory having the exact solution of the Dirac-Pauli equation. Thus, one will find the connection of the quantum spin-flip transitions with classical spin precession.According to the uncertainty principle, for the spin-flip transition with the characteristic frequency of SR [1] we obtainwhere µ is the magnetic moment, ρ is the radius of curvature of the relativistic electron trajectory in the homogeneous magnetic field H. The ratio of the transition time ∆t and the time of the radiation forming ∆t on the circular arc dl ≈ γρ is equal ∆t/∆t ≈ 2πγ −4 ≪ 1.That means that in the ultrarelativistic case, spin-flip transitions are practically noninertial, that is why the electron motion can be considered for the time ∆t as uniform and rectilinear.Let us consider the electric neutral Dirac-Pauli particle, which moves in the homogeneous magnetic field H = (0, 0, H). As is known [2], wave function of the above particle has the form Ψ(r, t) = L −3/2

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“…According to the uncertainty principle, for the spin-flip transition with the characteristic frequency of SR [1] we obtain…”

mentioning

confidence: 99%

mentioning

confidence: 99%

Discussion on spin-flip synchrotron radiation

Bordovitsyn¹,

Gushchina²,

Myagkii³

1998

Nuclear Instruments and Methods in Physics Research Section A:

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On classical description of radiation from neutral fermion with anomalous magnetic moment

Lobanov

Павлова

2000

Physics Letters A

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Electromagnetic radiation from an uncharged spin 1/2 particle with an anomalous magnetic moment moving in the classical electromagnetic external field originates from quantum spin-flip transitions. Although this process has a purely quantum nature, it was observed for certain particular external field configurations that, when quantum recoil is neglected, the radiation power corresponds to the classical radiation from an evolving magnetic dipole. We argue that this correspondence has a more general validity in the case of an unpolarized particle and derive a general formula for radiation in terms of the external field strength and its derivative. A classical dynamics of the spin is described by the Bargmann-Michel-Telegdi equation. *

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Radiation and self-polarization of neutral fermions in quasi-classical description

Lobanov¹

2006

J. Phys. A: Math. Gen.

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A Lorentz invariant formalism for quasi-classical description of electromagnetic radiation from a neutral spin 1 / 2 particle with an anomalous magnetic moment moving in an external electromagnetic field is developed. In the high symmetry fields, for which analytical solutions to the Bargmann-Michel-Telegdi equation are known, the so called self-polarization axes, i. e. directions of preferred polarization of particles in the radiation process, are found. Expressions for the radiative transition probability and spectral-angular distribution of the radiation emitted by a polarized particle are obtained in the fields under consideration.

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Radiation by relativistic dipoles. IV

Cited by 3 publications

References 0 publications

Discussion on spin-flip synchrotron radiation

Discussion on spin-flip synchrotron radiation

On classical description of radiation from neutral fermion with anomalous magnetic moment

Radiation and self-polarization of neutral fermions in quasi-classical description

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