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- W2962927413 abstract "We study the Klein paradox for the semi-classical Dirac operator on R with potentials having constant limits, possibly different at infinity. Using the complex WKB method, the time-independent scattering theory in terms of incoming and outgoing plane wave solutions is established. The corresponding scattering matrix is unitary. We obtain an asymptotic expansion, with respect to the semi-classical parameter h, of the scattering matrix in the cases of the Klein paradox, the total transmission and the total reflection. Finally, we treat the scattering problem in the zero mass case." @default.
- W2962927413 created "2019-07-30" @default.
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- W2962927413 date "2009-01-01" @default.
- W2962927413 modified "2023-09-26" @default.
- W2962927413 title "Klein paradox and scattering theory for the semi-classical Dirac equation" @default.
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- W2962927413 doi "https://doi.org/10.3233/asy-2009-0956" @default.
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