The relativistic mechanics in a nonholonomic setting : a unified approach to particles with non-zero mass and massless particles

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F12%3A00057386" target="_blank" >RIV/00216224:14310/12:00057386 - isvavai.cz</a>

Alternative codes found

RIV/61988987:17310/12:A130169F

Result on the web

<a href="http://dx.doi.org/10.1088/1751-8113/45/25/255202" target="_blank" >http://dx.doi.org/10.1088/1751-8113/45/25/255202</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8113/45/25/255202" target="_blank" >10.1088/1751-8113/45/25/255202</a>

Result language

angličtina

Original language name

The relativistic mechanics in a nonholonomic setting : a unified approach to particles with non-zero mass and massless particles

Original language description

A new approach to relativistic mechanics is proposed, suitable to describe in a unified way dynamics of different kinds of relativistic particles. Mathematically it is an application of a geometric theory of nonholonomic systems on fibred manifolds. We propose a setting based on a naturally constructed Lagrangian and a constraint on the four-velocity of a particle that allows a unified approach to particles with any (positive/negative/zero) square of mass. The corresponding equations of motion are obtained and discussed. In particular, new forces are found (different from the usual Lorentz force type term), arising due to the nonholonomic constraint. A possible meaning and relation with forces previously proposed by Dicke is discussed. In particular, equations of motion of massless particles and of tachyons are studied and the corresponding dynamics are investigated.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F09%2F0981" target="_blank" >GA201/09/0981: Global Analysis and the Geometry of Fibred Spaces</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Physics A: Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

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Volume of the periodical

45

Issue of the periodical within the volume

25

Country of publishing house

GB - UNITED KINGDOM

Number of pages

27

Pages from-to

1-27

UT code for WoS article

000305395200007

EID of the result in the Scopus database

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