Inverse nonstationary scattering problem for the Dirac equation

1972 ◽  
Vol 24 (1) ◽  
pp. 89-92 ◽  
Author(s):  
L. P. Nizhnik
Keyword(s):  
Dirac Equation ◽  
Scattering Problem

scholarly journals Scattering theory for the Dirac equation with a non-local term

2009 ◽  
Vol 139 (4) ◽  
pp. 867-878 ◽  
Author(s):  
Shuji Machihara ◽  
Kimitoshi Tsutaya
Keyword(s):  
Dirac Equation ◽  
Initial Data ◽  
Sobolev Spaces ◽  
Scattering Theory ◽  
Scattering Problem ◽  
Small Initial Data ◽  
Non Local ◽  
Scattering Operators ◽  
Local Term

Consider a scattering problem for the Dirac equation with a non-local term including the Hartree type, say the cubic convolution term. We show the existence of scattering operators for small initial data in the subcritical and critical Sobolev spaces.

Solution of the Single-Site Aspherical Scattering Problem for the Dirac Equation

1991 ◽  
Vol 253 ◽  
Author(s):  
Stephen C. Lovatt ◽  
B.L. Gyorffy ◽  
Guang-Yu Guo
Keyword(s):  
Dirac Equation ◽  
Partial Wave ◽  
Wave Scattering ◽  
Crystalline Silicon ◽  
Scattering Problem ◽  
Scattering Matrix ◽  
Single Site ◽  
Finite Range ◽  
S Matrix

ABSTRACTWe study the scattering solutions of the Dirac equation numerically for anisotropic, finite range (warped muffin-tin), potentials. In particular, we calculate the partial-wave scattering matrix, ƒAA'(ε) and S-matrix SAA′(ε), for a potential characteristic of crystalline Silicon. We illustrate the consequences of aspherical scattering with reference to Silicon.

Inverse scattering problem for the nonstationary Dirac equation on the half-plane

2016 ◽  
Vol 24 (3) ◽  
Author(s):  
Mansur I. Ismailov
Keyword(s):  
Boundary Condition ◽  
Dirac Equation ◽  
Inverse Scattering ◽  
Half Plane ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Dirac System ◽  
Scattering Operator ◽  
Uniqueness Criterion

AbstractIn this paper, the inverse scattering problem for the nonstationary Dirac system on the half-plane is considered. The uniqueness criterion for the inverse scattering problem in terms of boundary condition is described and the restoration of the potential from the scattering operator is proved.

Bosonic Symmetries, Solutions, and Conservation Laws for the Dirac Equation with Nonzero Mass

2013 ◽  
Vol 58 (6) ◽  
pp. 523-533 ◽  
Author(s):  
V.M. Simulik ◽  
◽  
I.Yu. Krivsky ◽  
I.L. Lamer ◽  
◽  
...  
Keyword(s):  
Dirac Equation ◽  
Conservation Laws
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