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- W3093786130 abstract "We prove essential self-adjointness of Dirac operators with Lorentz scalar potentials which grow sufficiently fast near the boundary $partialOmega$ of the spatial domain $Omegasubsetmathbb R^d$. On the way, we first consider general symmetric first order differential systems, for which we identify a new, large class of potentials, called scalar potentials, ensuring essential self-adjointness. Furthermore, using the supersymmetric structure of the Dirac operator in the two dimensional case, we prove confinement of Dirac particles, i.e. essential self-adjointness of the operator, solely by magnetic fields $mathcal{B}$ assumed to grow, near $partialOmega$, faster than $1/big(2text{dist} (x, partialOmega)^2big)$." @default.
- W3093786130 created "2020-10-29" @default.
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- W3093786130 date "2021-08-09" @default.
- W3093786130 modified "2023-10-15" @default.
- W3093786130 title "Essential Self-adjointness of Symmetric First-Order Differential Systems and Confinement of Dirac Particles on Bounded Domains in $${mathbb {R}}^d$$" @default.
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- W3093786130 doi "https://doi.org/10.1007/s00220-021-04129-4" @default.
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