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

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/61988987:17310/12:A130169F

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F09%2F0981" target="_blank" >GA201/09/0981: Globální analýza a geometrie fibrovaných prostorů</a><br>

Návaznosti

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

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Journal of Physics A: Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

—

Svazek periodika

45

Číslo periodika v rámci svazku

25

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

27

Strana od-do

1-27

Kód UT WoS článku

000305395200007

EID výsledku v databázi Scopus

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