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Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions

Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions

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 …