Luca Campobasso

Klein paradox in the Wigner phase space formalism

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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University of Bialystok