Abstract
The Klein paradox is considered in the context of quantum mechanics in phase space. The external degrees of freedom are represented together with the internal degrees of freedom in the Hilbert space \(L^2(\mathbb {R}) \otimes \mathbb {C}^2\). The tunneling coefficients are extrapolated with the help of a continuity equation newly formulated in terms of a density operator.
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Campobasso, L., Tosiek, J. (2023). The Klein Paradox in the Phase Space Quantum Mechanics. In: Kielanowski, P., Dobrogowska, A., Goldin, G.A., Goliński, T. (eds) Geometric Methods in Physics XXXIX. WGMP 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-30284-8_6
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DOI: https://doi.org/10.1007/978-3-031-30284-8_6
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