Relativistic magnetic top in electromagnetic fields

Bordovitsyn, V. A.

doi:10.1007/bf00560442

Cited by 4 publications

(5 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…All results obtained are in complete agreement with the classical theory of the spin precession on the base of the BMT equation [3]. This method allows to determine the precession of the spin projection on the direction of motion (β Π) t .…”

supporting

confidence: 80%

See 1 more Smart Citation

Discussion on spin-flip synchrotron radiation

Bordovitsyn¹,

Gushchina²,

Myagkii³

1998

Nuclear Instruments and Methods in Physics Research Section A:

View full text Add to dashboard Cite

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

show abstract

supporting

confidence: 80%

“…As a matter of fact these expressions are not different from the solution of the tensor BMT-equation of spin precession [3].…”

mentioning

confidence: 80%

Discussion on spin-flip synchrotron radiation

Bordovitsyn¹,

Gushchina²,

Myagkii³

1998

Nuclear Instruments and Methods in Physics Research Section A:

View full text Add to dashboard Cite

show abstract

“…Let us introduce to the integration variable k ′ = k(lu) which denotes the photon energy in the rest frame of the radiating particle. Using formulas for the Fourier transforms of generalized functions (for example, see [20]), we integrate ( 9) and (10) with respect to variable k ′ . As a result, we obtain…”

Section: General Relationsmentioning

confidence: 99%

“…Electromagnetic radiation from an uncharged spin 1 / 2 particle with an anomalous magnetic moment moving in certain types of classical electromagnetic field was studied previously within the Furry picture of quantum electrodynamics (QED) [1,2,3,4,5,6,7,8]. Meanwhile it was observed that under certain conditions the radiation process may be described in purely classical terms using the Bargmann-Michel-Telegdi (BMT) spin evolution equation [9,10] ‡. In such a pseudoclassical treatment the radiation power is given by the well-known formula for a magnetic moment radiation [12]:…”

Section: Introductionmentioning

confidence: 99%

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

Lobanov¹

2006

J. Phys. A: Math. Gen.

View full text Add to dashboard Cite

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.

show abstract

“…Radiative transitions in the case of the uncharged particles correspond to the spin-flip amplitudes and thus have an essentially quantum nature. Meanwhile it was observed that under certain conditions the radiation process may be described in purely classical terms using the Bargmann-Michel-Telegdi (BMT) spin evolution equation [9,10]. In such a pseudoclassical treatment the radiation power is given by the well-known formula for radiation from a magnetic moment µ ν [11]:…”

mentioning

confidence: 99%

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

Lobanov

Павлова

2000

Physics Letters A

View full text Add to dashboard Cite

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. *

show abstract

Relativistic magnetic top in electromagnetic fields

Cited by 4 publications

References 4 publications

Discussion on spin-flip synchrotron radiation

Discussion on spin-flip synchrotron radiation

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

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

Contact Info

Product

Resources

About