scholarly journals The eikonal approximation of the scattering theory for fast charged particles in a thin layer of crystalline and amorphous media

2021 ◽  
Vol 487 ◽  
pp. 25-29
Author(s):  
N.F. Shul’ga ◽  
V.D. Koriukina
Keyword(s):  
Thin Layer ◽  
Scattering Theory ◽  
Charged Particles ◽  
Eikonal Approximation ◽  
Amorphous Media

Scattering on Magnetic Monopoles

1980 ◽  
Vol 35 (12) ◽  
pp. 1276-1284
Author(s):  
Herbert-Rainer Petry
Keyword(s):  
Line Bundle ◽  
Cross Section ◽  
Scattering Theory ◽  
Charged Particles ◽  
Scattering Matrix ◽  
Magnetic Monopoles ◽  
Wave Functions ◽  
Complex Line ◽  
Complex Line Bundle ◽  
Frame Work

Abstract The time-dependent scattering theory of charged particles on magnetic monopoles is investigated within a mathematical frame-work, which duely pays attention to the fact that the wave-functions of the scattered particles are sections in a non-trivial complex line-bundle. It is found that Möller operators have to be defined in a way which takes into account the peculiar long-range behaviour of the monopole field. Formulas for the scattering matrix and the differential cross-section are derived, and, as a by-product, a momentum space picture for particles, which are described by sections in the underlying complex line-bundle, is presented.

scholarly journals Generalisation of scattering theory to charged particles

2009 ◽  
Vol 185 ◽  
pp. 012017
Author(s):  
A S Kadyrov ◽  
I Bray ◽  
A M Mukhamedzhanov ◽  
A T Stelbovics
Keyword(s):  
Scattering Theory ◽  
Charged Particles

Eikonal approximation in the theory of energy loss by fast charged particles

2011 ◽  
Vol 112 (5) ◽  
pp. 756-769 ◽  
Author(s):  
V. I. Matveev ◽  
D. N. Makarov ◽  
E. S. Gusarevich
Keyword(s):  
Energy Loss ◽  
Charged Particles ◽  
Eikonal Approximation
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