Relativistic particle of arbitrary spin in a Coulomb field and the field of a plane electromagnetic wave

1983 ◽  
Vol 57 (2) ◽  
pp. 1123-1128 ◽  
Author(s):  
A. G. Nikitin
Keyword(s):  
Electromagnetic Wave ◽  
Relativistic Particle ◽  
Plane Electromagnetic Wave ◽  
Coulomb Field ◽  
Arbitrary Spin

scholarly journals Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
M. Eshghi ◽  
M. Hamzavi ◽  
S. M. Ikhdair
Keyword(s):  
Dirac Equation ◽  
Laplace Transformation ◽  
Bound States ◽  
Energy Eigenvalue ◽  
Coulomb Field ◽  
Transformation Method ◽  
Arbitrary Spin ◽  
Tensor Interaction ◽  
Dependent Mass ◽  
Laplace Transformation Method

The spatially dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction potential under the spin and pseudospin (p-spin) symmetric limits by using the Laplace transformation method (LTM). Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number κ. Some numerical results are given too. The effect of the tensor interaction on the bound states is presented. It is shown that the tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under the conditions of the spin symmetric limit and in the absence of tensor interaction (T=0).

Scattering of a Plane Electromagnetic Wave by a Multilayer Spherical Lens

2018 ◽  
Vol 61 (7) ◽  
pp. 516-527 ◽  
Author(s):  
P. O. Afanasyev ◽  
A. A. Akopov ◽  
A.M. Lehrer ◽  
M.B. Manuilov
Keyword(s):  
Electromagnetic Wave ◽  
Plane Electromagnetic Wave ◽  
Spherical Lens
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