Multiparticle States with Spin-Independent Poincaré Transformation Properties

1971 ◽  
Vol 3 (6) ◽  
pp. 1468-1485 ◽  
Author(s):  
Graham L. Tindle
Keyword(s):  
Poincaré Transformation

scholarly journals Zwanziger’s pairwise little group on the celestial sphere

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Luke Lippstreu
Keyword(s):  
Scattering Amplitudes ◽  
Soft Photon ◽  
Late Time ◽  
Poincaré Group ◽  
Poincare Group ◽  
Link Type ◽  
Celestial Sphere ◽  
Poincaré Transformation ◽  
Do So

Abstract We generalize Zwanziger’s pairwise little group to include a boost subgroup. We do so by working in the celestial sphere representation of scattering amplitudes. We propose that due to late time soft photon and graviton exchanges, matter particles in the asymptotic states in massless QED and gravity transform under the Poincaré group with an additional pair of pairwise celestial representations for each pair of matter particles. We demonstrate that the massless abelian and gravitational exponentiation theorems are consistent with the proposed pairwise Poincaré transformation properties. For massless QED we demonstrate that our results are consistent with the effects of the Faddeev-Kulish dressing and the abelian exponentiation theorem for celestial amplitudes found in arXiv:2012.04208. We discuss electric and magnetic charges simultaneously as it is especially natural to do so in this formalism.

On the Distribution of Successive Images in the Poincare Transformation Problem of a Circle Into Itself

1934 ◽  
Vol 56 (1/4) ◽  
pp. 407
Author(s):  
D. C. Lewis ◽  
Aurel Wintner
Keyword(s):  
Transformation Problem ◽  
Poincaré Transformation

Relativistic particles and commutator algebras with twisted Poincaré transformation

2007 ◽  
Vol 31 (3) ◽  
pp. 557-560 ◽  
Author(s):  
J. Sadeghi ◽  
B. Pourhassan
Keyword(s):  
Poincaré Transformation ◽  
Relativistic Particles

Two-particle scattering amplitudes with spin-independent poincaré-transformation properties

1975 ◽  
Vol 11 (6) ◽  
pp. 1688-1700 ◽  
Author(s):  
Graham L. Tindle
Keyword(s):  
Scattering Amplitudes ◽  
Particle Scattering ◽  
Poincaré Transformation

Poincare transformation in a Lienard system

2014 ◽  
Vol 8 ◽  
pp. 2421-2425
Author(s):  
Jaime-Eduardo Jimenez-Sarmiento ◽  
Ana-Magnolia Marin-Ramirez ◽  
Ruben-Dario Ortiz-Ortiz
Keyword(s):  
Liénard System ◽  
Lienard System ◽  
Poincaré Transformation

scholarly journals A generalization of the Levinson-Massera’s equalities

1977 ◽  
Vol 67 ◽  
pp. 121-138 ◽  
Author(s):  
Kenichi Shiraiwa
Keyword(s):  
Qualitative Study ◽  
Differential Equations ◽  
Dissipative System ◽  
Second Order ◽  
Linear Differential Equations ◽  
Dissipative Systems ◽  
Subharmonic Solutions ◽  
System A ◽  
Linear Differential ◽  
Poincaré Transformation

In his study of non-linear differential equations of the second order, N. Levinson [3] defined the dissipative systems (D-systems) which arise in many important cases in practice. To a dissipative system a transformation T: R2 → R2 called the Poincaré transformation is associated. Levinson used the Poincaré transformation in the qualitative study of dissipative systems, and he [3] and Massera [5] obtained certain equalities between the number of subharmonic solutions of a dissipative systems under suitable conditions. We call these the Levinson-Massera’s equalities.

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