Abstract:
A simple explicitly solvable model of electron propagation in a thin conductor in a three-dimensional space is considered. Resonance scattering by a point inhomogeneity possessing internal structure is analyzed by the methods of the theory of extensions.
Citation:
B. S. Pavlov, A. V. Strepetov, “Exactly solvable model of electron scattering by an inhomogeneity in a thin conductor”, TMF, 90:2 (1992), 226–232; Theoret. and Math. Phys., 90:2 (1992), 152–156
\Bibitem{PavStr92}
\by B.~S.~Pavlov, A.~V.~Strepetov
\paper Exactly solvable model of electron scattering by an inhomogeneity in a~thin conductor
\jour TMF
\yr 1992
\vol 90
\issue 2
\pages 226--232
\mathnet{http://mi.mathnet.ru/tmf5526}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1182295}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 90
\issue 2
\pages 152--156
\crossref{https://doi.org/10.1007/BF01028439}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JT83800007}
Linking options:
https://www.mathnet.ru/eng/tmf5526
https://www.mathnet.ru/eng/tmf/v90/i2/p226
This publication is cited in the following 6 articles:
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Elhadj Hocine, Rabia Yekken, Roland Lombard, “Applying quantum supersymmetry and perturbation theory to the energy-dependent Hulthén potential”, Eur. Phys. J. Plus, 134:11 (2019)
Sergey Leble, Springer Series on Atomic, Optical, and Plasma Physics, 109, Waveguide Propagation of Nonlinear Waves, 2019, 207
Sergey Leble, Springer Series on Atomic, Optical, and Plasma Physics, 109, Waveguide Propagation of Nonlinear Waves, 2019, 259
Axel Schulze-Halberg, “Darboux Transformations for Energy-Dependent Potentials and the Klein–Gordon Equation”, Math Phys Anal Geom, 16:2 (2013), 179
AXEL SCHULZE-HALBERG, “DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS”, Int. J. Mod. Phys. A, 23:03n04 (2008), 537