Eigenvalue curves for Generalized MIT bag models
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 model. We show that the eigenvalues are parametrized as increasing functions of τ...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad del País Vasco |
| Repositorio: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/65283 |
| Acceso en línea: | http://hdl.handle.net/10810/65283 |
| Access Level: | acceso abierto |
| Sumario: | 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 model. We show that the eigenvalues are parametrized as increasing functions of τ , and we exploit this monotonicity to study the limits as τ → ±∞. We prove that if is not a ball then the first positive eigenvalue is greater than the one of a ball with the same volume for all τ large enough. Moreover, we show that the first positive eigenvalue converges to the mass of the particle as τ ↓ −∞, and we also analyze its first order asymptotics. |
|---|