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JOURNALS // Nanosystems: Physics, Chemistry, Mathematics // Archive

Nanosystems: Physics, Chemistry, Mathematics, 2018 Volume 9, Issue 6, Pages 703–710 (Mi nano359)

MATHEMATICS

Scattering on a chain of zero-range potentials with internal structure in the stochastic magnetic field

A. E. Ryzhkov

ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia

Abstract: Scattering problem on an infinite chain of zero-range potentials with internal structure in the stochastic magnetic field is investigated. Model operator is constructed using the perturbation theory for the self-adjoint operators. The relations with the scattering problem without stochasticity are investigated.

Keywords: operator extension, stochastic magnetic field, scattering problem.

PACS: 02.30.Tb

Received: 01.10.2018
Revised: 20.11.2018

Language: English

DOI: 10.17586/2220-8054-2018-9-6-703-710



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