Self-adjoint Extensions of the Two-valley Dirac Operator with Discontinuous Infinite Mass Boundary Conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F20%3A00534046" target="_blank" >RIV/61389005:_____/20:00534046 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.7153/oam-2020-14-42" target="_blank" >https://doi.org/10.7153/oam-2020-14-42</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7153/oam-2020-14-42" target="_blank" >10.7153/oam-2020-14-42</a>

Result language
angličtina
Original language name
Self-adjoint Extensions of the Two-valley Dirac Operator with Discontinuous Infinite Mass Boundary Conditions
Original language description
We consider the four-component two-valley Dirac operator on a wedge in R-2 with infinite mass boundary conditions, which enjoy a flip at the vertex. We show that it has deficiency indices (1,1) and we parametrize all its self-adjoint extensions, relying on the fact that the underlying two-component Dirac operator is symmetric with deficiency indices (0,1). The respective defect element is computed explicitly. We observe that there exists no self-adjoint extension, which can be decomposed into an orthogonal sum of two two-component operators. In physics, this effect is called mixing the valleys.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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