### Abstract

Equations of motion for an electrically charged string with a current in an external electromagnetic field with regard to the first correction due to the self-action are derived. It is shown that the reparameterization invariance of the free action of the string imposes constraints on the possible form of the current. The effective equations of motion are obtained for an absolutely elastic charged string in the form of a ring (circle). Equations for the external electromagnetic fields that admit stationary states of such a ring are derived. Solutions to the effective equations of motion of an absolutely elastic charged ring in the absence of external fields as well as in an external uniform magnetic field are obtained. In the latter case, the frequency at which one can observe radiation emitted by the ring is evaluated. A model of an absolutely nonstretchable charged string with a current is proposed. The effective equations of motion are derived within this model, and a class of solutions to these equations is found.

Original language | English |
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Pages (from-to) | 270-279 |

Number of pages | 10 |

Journal | Journal of Experimental and Theoretical Physics |

Volume | 101 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2005 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of Experimental and Theoretical Physics*,

*101*(2), 270-279. https://doi.org/10.1134/1.2047792

**Effective dynamics of an electrically charged string with a current.** / Kazinski, P. O.

Research output: Contribution to journal › Article

*Journal of Experimental and Theoretical Physics*, vol. 101, no. 2, pp. 270-279. https://doi.org/10.1134/1.2047792

}

TY - JOUR

T1 - Effective dynamics of an electrically charged string with a current

AU - Kazinski, P. O.

PY - 2005

Y1 - 2005

N2 - Equations of motion for an electrically charged string with a current in an external electromagnetic field with regard to the first correction due to the self-action are derived. It is shown that the reparameterization invariance of the free action of the string imposes constraints on the possible form of the current. The effective equations of motion are obtained for an absolutely elastic charged string in the form of a ring (circle). Equations for the external electromagnetic fields that admit stationary states of such a ring are derived. Solutions to the effective equations of motion of an absolutely elastic charged ring in the absence of external fields as well as in an external uniform magnetic field are obtained. In the latter case, the frequency at which one can observe radiation emitted by the ring is evaluated. A model of an absolutely nonstretchable charged string with a current is proposed. The effective equations of motion are derived within this model, and a class of solutions to these equations is found.

AB - Equations of motion for an electrically charged string with a current in an external electromagnetic field with regard to the first correction due to the self-action are derived. It is shown that the reparameterization invariance of the free action of the string imposes constraints on the possible form of the current. The effective equations of motion are obtained for an absolutely elastic charged string in the form of a ring (circle). Equations for the external electromagnetic fields that admit stationary states of such a ring are derived. Solutions to the effective equations of motion of an absolutely elastic charged ring in the absence of external fields as well as in an external uniform magnetic field are obtained. In the latter case, the frequency at which one can observe radiation emitted by the ring is evaluated. A model of an absolutely nonstretchable charged string with a current is proposed. The effective equations of motion are derived within this model, and a class of solutions to these equations is found.

UR - http://www.scopus.com/inward/record.url?scp=25844481659&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=25844481659&partnerID=8YFLogxK

U2 - 10.1134/1.2047792

DO - 10.1134/1.2047792

M3 - Article

VL - 101

SP - 270

EP - 279

JO - Journal of Experimental and Theoretical Physics

JF - Journal of Experimental and Theoretical Physics

SN - 1063-7761

IS - 2

ER -