Spectral inequality for Dirac right triangles
We consider a Dirac operator on right triangles, subject to infinite-mass boundary conditions. We conjecture that the lowest positive eigenvalue is minimized by the isosceles right triangle under the area or perimeter constraints. We prove this conjecture under extra geometric hypotheses relying on...
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| Published in | Journal of mathematical physics Vol. 64; no. 4 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.04.2023
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| Online Access | Get full text |
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| Summary: | We consider a Dirac operator on right triangles, subject to infinite-mass boundary conditions. We conjecture that the lowest positive eigenvalue is minimized by the isosceles right triangle under the area or perimeter constraints. We prove this conjecture under extra geometric hypotheses relying on a recent approach of Briet and Krejčiřík [J. Math. Phys. 63, 013502 (2022)]. |
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| ISSN: | 0022-2488 1089-7658 |
| DOI: | 10.1063/5.0147732 |