Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-29
Journal of Surface Investigation, 3(2) 284-288 (2009)
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, Latex, six figures; six sections, one figure added
Scientific paper
110.1134/S1027451009020219
The exactly solvable scalar-tensor potential of the four-component Dirac equation has been obtained by the Darboux transformation method. The constructed potential has been interpreted in terms of nucleon-nucleon and Schwinger interactions of neutral particles with lattice sites during their channeling Hamiltonians of a Schwinger type is obtained by means of the Darboux transformation chain. The analitic structure of the Lyapunov function of periodic continuation for each of the Hamiltonians of the family is considered.
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