On the differential equations of the classical and relativistic dynamics for certain generalised Lagrangian functions

Antonio Pignedoli

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1987)

  • Volume: 81, Issue: 4, page 361-372
  • ISSN: 0392-7881

Abstract

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One studies the differential equations of the movement of certain classical and relativistic systems for some special Lagrangian functions. One considers particularly the case in which the problem presents cyclic coordinates. Some electrodynamical applications are studied.

How to cite

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Pignedoli, Antonio. "On the differential equations of the classical and relativistic dynamics for certain generalised Lagrangian functions." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 81.4 (1987): 361-372. <http://eudml.org/doc/289249>.

@article{Pignedoli1987,
abstract = {One studies the differential equations of the movement of certain classical and relativistic systems for some special Lagrangian functions. One considers particularly the case in which the problem presents cyclic coordinates. Some electrodynamical applications are studied.},
author = {Pignedoli, Antonio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Relativistic Lagrangian Dynamics},
language = {eng},
month = {12},
number = {4},
pages = {361-372},
publisher = {Accademia Nazionale dei Lincei},
title = {On the differential equations of the classical and relativistic dynamics for certain generalised Lagrangian functions},
url = {http://eudml.org/doc/289249},
volume = {81},
year = {1987},
}

TY - JOUR
AU - Pignedoli, Antonio
TI - On the differential equations of the classical and relativistic dynamics for certain generalised Lagrangian functions
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1987/12//
PB - Accademia Nazionale dei Lincei
VL - 81
IS - 4
SP - 361
EP - 372
AB - One studies the differential equations of the movement of certain classical and relativistic systems for some special Lagrangian functions. One considers particularly the case in which the problem presents cyclic coordinates. Some electrodynamical applications are studied.
LA - eng
KW - Relativistic Lagrangian Dynamics
UR - http://eudml.org/doc/289249
ER -

References

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  1. WHITTAKER, E.T. (1944) - Analytical Dynamics, Dover Publications, 1 st American Edition. MR10813
  2. WEBER, W. (1897) - Elektrodynamische Maasbestimmungen über ein allgemeines Grundgesetz der elektrischen Wirkung, Springer, Berlin. JFM03.0526.01
  3. ARZELIÈS, H. (1957) - La dynamique relativiste et ses applications, Gauthier-Villars, Paris. Zbl0077.20502MR89054
  4. BOGGIO, T. (1903) - Intégrale nouvelle des équations du mouvement d'une particule électrisée dans un champ électrique et magnétique superposées, Comptes Rendus de l'Accadèmie des Sciences de Paris, 1938; see also «Rend. R. Acc. Lincei». Zbl0019.26005JFM64.0811.02
  5. AGOSTINELLI, C. (1939) - Sulla risoluzione analitica del problema del moto di un corpuscolo elettrizzato in presenza di un dipolo magnetico. «R. Acc. delle Scienze, Torino» (and more references there). Zbl0026.03503JFM65.1035.05

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