scholarly journals Realization of Poincaré group induced by a second‐order ordinary differential system. Noninteraction theorem

1986 ◽  
Vol 27 (2) ◽  
pp. 519-523 ◽  
Author(s):  
X. Jaen ◽  
J. Llosa ◽  
F. Marqués ◽  
A. Montoto
Keyword(s):  
Differential System ◽  
Second Order ◽  
Poincaré Group ◽  
Poincare Group ◽  
Ordinary Differential System

scholarly journals A Variational Approach to an Inhomogeneous Second-Order Ordinary Differential System

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
B. Muatjetjeja ◽  
C. M. Khalique
Keyword(s):  
Positive Solutions ◽  
Differential System ◽  
Variational Approach ◽  
First Integrals ◽  
Second Order ◽  
Point Of View ◽  
Lagrangian Formulation ◽  
Multiple Positive Solutions ◽  
First Order ◽  
Ordinary Differential System

This paper studies the coupled inhomogeneous Lane-Emden system from the Lagrangian formulation point of view. The existence of multiple positive solutions has been discussed in the literature. Here we aim to classify the system with respect to a first-order Lagrangian according to the Noether point symmetries it admits. We then obtain first integrals of the various cases which admit Noether point symmetries.

scholarly journals Massless finite and infinite spin representations of Poincaré group in six dimensions

2021 ◽  
pp. 136064
Author(s):  
I.L. Buchbinder ◽  
S.A. Fedoruk ◽  
A.P. Isaev ◽  
M.A. Podoinitsyn
Keyword(s):  
Poincaré Group ◽  
Poincare Group ◽  
Six Dimensions ◽  
Spin Representations

scholarly journals Completing Multiparticle Representations of the Poincaré Group

2021 ◽  
Vol 127 (4) ◽  
Author(s):  
Csaba Csáki ◽  
Sungwoo Hong ◽  
Yuri Shirman ◽  
Ofri Telem ◽  
John Terning
Keyword(s):  
Poincaré Group ◽  
Poincare Group

TWISTED POINCARE GROUP AND SPIN-STATISTICS

2005 ◽  
Vol 20 (27) ◽  
pp. 6268-6277 ◽  
Author(s):  
ALEKSANDR PINZUL
Keyword(s):  
Field Theory ◽  
Tensor Product ◽  
Poincaré Group ◽  
Commutative Field ◽  
Poincare Group ◽  
Quantized Fields

Recently it has been shown that it is possible to retain the Lorentz-invariant interpretation of the non-commutative field theory.1,2,3 This was achieved by the means of the twisted action of the Poincaré group on the tensor product of the fields. We investigate the consequences of this approach for the quantized fields.

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