Spectral properties of two-dimensional half-space semi-Dirac semi-metals
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913405945774080 |
|---|---|
| author | Vu, Tuyen |
| author_facet | Vu, Tuyen |
| contents | The paper deals with the semi-Dirac operator in a half-space arising in the description of quasiparticles in quantum mechanics as well as in semi-metals materials and related structures. It completely shows the self-adjointness, computes the square and the spectrum of the operator. We also set up sufficient conditions for the existence of the point and discrete spectrum by including some appropriate potentials in the problem and study the spectral stability properties for perturbed operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17610 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral properties of two-dimensional half-space semi-Dirac semi-metals Vu, Tuyen Mathematical Physics Spectral Theory The paper deals with the semi-Dirac operator in a half-space arising in the description of quasiparticles in quantum mechanics as well as in semi-metals materials and related structures. It completely shows the self-adjointness, computes the square and the spectrum of the operator. We also set up sufficient conditions for the existence of the point and discrete spectrum by including some appropriate potentials in the problem and study the spectral stability properties for perturbed operators. |
| title | Spectral properties of two-dimensional half-space semi-Dirac semi-metals |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2402.17610 |