Dirac operators with a spherically symmetric δ-shell interaction
- 1 December 1989
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 30 (12) , 2875-2882
- https://doi.org/10.1063/1.528469
Abstract
Dirac operators with a contact interaction supported by a sphere are studied restricting attention to the operators that are rotationally and space‐reflection symmetric. The partial wave operators are constructed using the self‐adjoint extension theory, a particular attention being paid to those among them that can be interpreted as δ‐function shells of scalar and vector nature. The class of interactions for which the sphere becomes impenetrable is specified and spectral properties of the obtained Hamiltonians are discussed.Keywords
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