Browsing by Author "Arrizabalaga, Naiara"
Now showing items 1-6 of 6
-
Eigenvalue curves for Generalized MIT bag models
Arrizabalaga Uriarte, Naiara; Mas, Albert; Vega González, Luis ; Sanz Perela, Tomás (Springer, 2023-01)We study spectral properties of Dirac operators on bounded domains ⊂ R3 with boundary conditions of electrostatic and Lorentz scalar type and which depend on a parameter τ ∈ R; the case τ = 0 corresponds to the MIT bag ... -
Ekuazio diferentzialak
Arrizabalaga Uriarte, Naiara; Rivas Ulloa, Judith (Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua, 2020)Ekuazio diferentzialak funtzioak eta haien deribatuak erlazionatzen dituzten ekuazio matematikoak dira. Ezezagunak aldagai bateko funtzioak badira, ekuazio diferentzialak arruntak direla esaten da; aldiz, ezezagunak aldagai ... -
Extension operator for the MIT Bag Model
Arrizabalaga Uriarte, Naiara; Le Treust, Loïc; Raymond, Nicolas (Institut de Mathématiques de Toulouse, 2020)This paper is devoted to the construction of an extension operator for the MIT bag Dirac operator on a C^2,1 bounded open set of R^3 in the spirit of the extension theorems for Sobolev spaces. As an elementary byproduct, ... -
On the MIT Bag Model in the Non- relativistic Limit
Arrizabalaga Uriarte, Naiara; Le Treust, Loïc; Raymond, Nicolas (Springer, 2017-06-12)This paper is devoted to the spectral investigation of the MIT bag model, that is, the Dirac operator on a smooth and bounded domain of R^3 with certain boundary conditions. When the mass m goes to infinity, we provide ... -
-
The MIT bag model as an infinite mass limit
Arrizabalaga Uriarte, Naiara; Le Treust, Loïc; Mas, Albert; Raymond, Nicolas (École polytechnique, 2019)The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass m > 0 lies outside a smooth enough and bounded open set Ω ⊂ R3, it is proved that its spectrum approximates the one of the Dirac ...