generalized virial theorem
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2015 ◽  
Vol 28 (1-2) ◽  
pp. 443-463 ◽  
Author(s):  
Jean-François Ganghoffer ◽  
Rachid Rahouadj

Pramana ◽  
2015 ◽  
Vol 84 (3) ◽  
pp. 373-385 ◽  
Author(s):  
JOSÉ F CARIÑENA ◽  
ANINDYA GHOSE CHOUDHURY ◽  
PARTHA GUHA

2014 ◽  
Vol 11 (09) ◽  
pp. 1450055 ◽  
Author(s):  
José F. Cariñena ◽  
Irina Gheorghiu ◽  
Eduardo Martínez ◽  
Patrícia Santos

In this paper, the geometric approach to the virial theorem (VT) developed in [J. F. Cariñena, F. Falceto and M. F. Rañada, A geometric approach to a generalized virial theorem, J. Phys. A: Math. Theor. 45 (2012) 395210, 19 pp.] is written in terms of quasi-velocities (see [J. F. Cariñena, J. Nunes da Costa and P. Santos, Quasi-coordinates from the point of view of Lie algebroid structures, J. Phys. A: Math. Theor. 40 (2007) 10031–10048]). A generalization of the VT for mechanical systems on Lie algebroids is also given, using the geometric tools of Lagrangian and Hamiltonian mechanics on the prolongation of the Lie algebroid.


2012 ◽  
Vol 45 (39) ◽  
pp. 395210 ◽  
Author(s):  
José F Cariñena ◽  
Fernando Falceto ◽  
Manuel F Rañada

2011 ◽  
Vol 84 (2) ◽  
Author(s):  
Malihe Heydari-Fard ◽  
Mohaddese Heydari-Fard

2009 ◽  
Vol 80 (6) ◽  
Author(s):  
A. S. Sefiedgar ◽  
K. Atazadeh ◽  
H. R. Sepangi

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