On Two-dimensional Dirac Operators with δ-Shell Interactions Supported on Unbounded Curves with Straight Ends

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00386052" target="_blank" >RIV/68407700:21340/25:00386052 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-981-96-3584-9_2" target="_blank" >https://doi.org/10.1007/978-981-96-3584-9_2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-981-96-3584-9_2" target="_blank" >10.1007/978-981-96-3584-9_2</a>

Result language
angličtina
Original language name
On Two-dimensional Dirac Operators with δ-Shell Interactions Supported on Unbounded Curves with Straight Ends
Original language description
In this paper we study the self-adjointness and spectral properties of two-dimensional Dirac operators with electrostatic, Lorentz scalar, and anomalous magnetic δ-shell interactions with constant weights that are supported on a smooth unbounded curve that is straight outside a compact set and whose ends are rays that are not parallel to each other. For all possible combinations of interaction strengths we describe the self-adjoint realizations and compute their essential spectra. Moreover, we prove in different situations the existence of geometrically induced discrete eigenvalues.
Czech name
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Czech description
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Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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