Affiliation:
1. LRPCSI Université 20 août 1955 Skikda , BP-26, 21000 Skikda , Algeria
Abstract
Abstract
In quantum scattering theory, the time evolution of a physical system can be described as a series of unitary transformations. The operator of this transformation will be denoted
S
̂
$\hat{\boldsymbol{S}}$
; the corresponding matrix is the Ŝ-matrix (scattering matrix). This last object contains all the information on the broadcast process associated with the operator
S
̂
$\hat{\boldsymbol{S}}$
The present work has two objectives: To develop the one-dimensional formalism of the scattering matrix of relativistic particles of spin-s (s = 0, 1/2) in the presence of a localized electromagnetic field on the one hand and on the other hand to analyze the solutions of the problem of scattering states of relativistic particles of spin-s in interaction with some localized scalar potentials via the
S
̂
$\hat{S}$
-matrix formalism.
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics
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