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Coherent Schwinger interaction from Darboux transformation
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Proceedings of the XXXVIII International Conference on Physics of Interaction of Charged Particles with Crystals (Skobeltsyn
Institute of Nuclear Physics, Moscow State University, Moscow, Russia, 2008)
Coherent Schwinger interaction from Darboux transformation
E. O. Pozdeeva1 
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Semenov Institute of Chemical Physics, Russian Academy of Sciences, ul. Kosygina 4, Moscow, 119991, Russia |
Received: 16 July 2008 Published online: 29 April 2009
Abstract 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-nuclear and Schwinger interactions of neutral particles
with lattice sites during their channeling in the nonmagnetic crystal. The family of exactly solvable interaction Hamiltonians
of a Schwinger type is obtained by means of the Darboux transformation chain. The analytic structure of the Lyapunov function
of periodic continuation for each of the Hamiltonians of the family is considered.
Original Russian Text © E.O. Pozdeeva, 2009, published in Poverkhnost’. Rentgenovskie, Sinkhrotronnye i Neitronnye Issledovaniya,
No. 4, pp. 33–37.
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