Simultaneous "Partial-Wave" Expansion in the Mandelstam Variables: Crossing Symmetry for Partial Waves

1968 ◽  
Vol 172 (5) ◽  
pp. 1821-1827 ◽  
Author(s):  
A. P. Balachandran ◽  
J. Nuyts
Keyword(s):  
Partial Wave ◽  
Partial Wave Expansion ◽  
Partial Waves ◽  
Wave Expansion ◽  
Crossing Symmetry

scholarly journals Relativistic partial waves for celestial amplitudes

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Y.T. Albert Law ◽  
Michael Zlotnikov
Keyword(s):  
Minkowski Space ◽  
Partial Wave ◽  
Inner Product ◽  
Completeness Relation ◽  
Product Representation ◽  
Partial Wave Expansion ◽  
Partial Waves ◽  
Wave Expansion ◽  
Casimir Operators ◽  
Made In

Abstract The formalism of relativistic partial wave expansion is developed for four-point celestial amplitudes of massless external particles. In particular, relativistic partial waves are found as eigenfunctions to the product representation of celestial Poincaré Casimir operators with appropriate eigenvalues. The requirement of hermiticity of Casimir operators is used to fix the corresponding integral inner product, and orthogonality of the obtained relativistic partial waves is verified explicitly. The completeness relation, as well as the relativistic partial wave expansion follow. Example celestial amplitudes of scalars, gluons, gravitons and open superstring gluons are expanded on the basis of relativistic partial waves for demonstration. A connection with the formulation of relativistic partial waves in the bulk of Minkowski space is made in appendices.

scholarly journals An analysis of the partial wave expansion of the dispersion energy for Ne2

1984 ◽  
Vol 110 (4) ◽  
pp. 369-374 ◽  
Author(s):  
G. Chałasiński ◽  
J.H. van Lenthe ◽  
Th.P. Groen
Keyword(s):  
Partial Wave ◽  
Dispersion Energy ◽  
Partial Wave Expansion ◽  
Wave Expansion

The partial-wave expansion for scattering in waveguides

2006 ◽  
Vol 120 (5) ◽  
pp. 2518-2525 ◽  
Author(s):  
Dalcio K. Dacol ◽  
Dilip G. Roy
Keyword(s):  
Partial Wave ◽  
Partial Wave Expansion ◽  
Wave Expansion

Simultaneous Partial-Wave Expansion in the Mandelstam Variables: The GroupSU(3)

1968 ◽  
Vol 176 (5) ◽  
pp. 1700-1705 ◽  
Author(s):  
A. P. Balachandran ◽  
W. J. Meggs ◽  
J. Nuyts ◽  
P. Ramond
Keyword(s):  
Partial Wave ◽  
Partial Wave Expansion ◽  
Wave Expansion
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