On the differential equations of the classical and relativistic dynamics for certain generalised Lagrangian functions
- Volume: 81, Issue: 4, page 361-372
- ISSN: 1120-6330
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topPignedoli, 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 Lincei. Matematica e Applicazioni 81.4 (1987): 361-372. <http://eudml.org/doc/287215>.
@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 Lincei. Matematica e Applicazioni},
keywords = {Relativistic Lagrangian Dynamics; relativistic systems; Lagrangian functions; cyclic coordinates},
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/287215},
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 Lincei. Matematica e Applicazioni
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; relativistic systems; Lagrangian functions; cyclic coordinates
UR - http://eudml.org/doc/287215
ER -
References
top- WHITTAKER, E.T. (1944) - Analytical Dynamics, Dover Publications, 1 st American Edition. MR10813
- WEBER, W. (1897) - Elektrodynamische Maasbestimmungen über ein allgemeines Grundgesetz der elektrischen Wirkung, Springer, Berlin. JFM03.0526.01
- ARZELIÈS, H. (1957) - La dynamique relativiste et ses applications, Gauthier-Villars, Paris. Zbl0077.20502MR89054
- 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
- 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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