Nonlinear Phenomena in Complex Systems, 2009, Vol.12, No.1, pp.75-80

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2009, Vol.12, No.1, pp.75-80

The Relativistic Equations with a Nonlinear Delta-Potential.
V. N. Kapshai and Y. A. Hryshechkin

Exact wave functions of a two particle system for the scattering states and the bound states are found in the case of one-dimensional nonlinear delta-potential. The expressions for the reflection and transmission coefficients,the conditions of the full reflection and the bound state energies are calculated.
Key words: delta-potential, relativistic integral equation, Green function

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