Browsing Analysis of Partial Differential Equations (APDE) by Author "Arrizabalaga, N."
Now showing items 1-2 of 2
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An Isoperimetric-Type Inequality for Electrostatic Shell Interactions for Dirac Operators
Arrizabalaga, N.; Mas, A.; Vega, L.(2016-06-01)
In this article we investigate spectral properties of the coupling $H + V_{\lambda}$, where $H =-i\alpha \cdot \nabla + m\beta$ is the free Dirac operator in $\mathbb{R}^3$, $m>0$ and $V_{\lambda}$ is an electrostatic shell ... -
Shell interactions for Dirac operators: On the point spectrum and the confinement
Arrizabalaga, N.; Mas, A.; Vega, L.(2015-12-31)
Spectral properties and the confinement phenomenon for the coupling $H + V$ are studied, where $H =-i\alpha \cdot \nabla + m\beta$ is the free Dirac operator in $\mathbb{R}^3$ and $V$ is a measure-valued potential. The ...