Atre, M. V. ; Mukunda, N.
(1987)
*Classical particles with internal structure. II. Second-order internal spaces*
Journal of Mathematical Physics, 28
(4).
pp. 792-806.
ISSN 0022-2488

Full text not available from this repository.

Official URL: http://link.aip.org/link/jmapaq/v28/i4/p792/s1

Related URL: http://dx.doi.org/10.1063/1.527621

## Abstract

A systematic study of classical relativistic particles with internal structure, initiated in a previous paper, is continued and a study of second-order internal spaces (SOS) is presented within the framework of the Lagrangian form of constrained dynamics. Such internal spaces Q are those for which a phase-space treatment must necessarily use the cotangent bundle T^{∗}Q. The large variety of possible SOS's-ten discrete cases and two one-parameter families-is separated into those capable of a manifestly covariant description, and those for which special methods based on the transitive action of SL(2,C) on a coset space are needed. The concept of the isotopy representation plays an important role in this context. Seven of the possible discrete SOS's are shown to be describable in a manifestly covariant way; two discrete and one one-parameter family of SOS's are shown to be unphysical in the sense that no Lagrangians can be written in which the internal and the space-time position variables are nontrivially coupled; and the remaining single discrete and one one-parameter family are shown to be physical though not describable in a manifestly covariant way. General phase-space methods uniformly applicable to all SOS's are developed; and as an illustrative example a Lagrangian model for an SOS in which the internal space is spanned by two orthonormal spacelike unit vectors is presented.

Item Type: | Article |
---|---|

Source: | Copyright of this article belongs to American Institute of Physics. |

Keywords: | Particles; Particle Structure; Mathematical Space; Classical Mechanics; Dynamics; Phase Space; Group Theory; Lagrangian Function; Differential Geometry |

ID Code: | 25328 |

Deposited On: | 06 Dec 2010 13:34 |

Last Modified: | 08 Jun 2011 04:42 |

Repository Staff Only: item control page