Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator

Details Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator Absence of eigenvalues for the generalized two-dimensional periodic Dirac operator

2007-03-09

arxiv.org/abs/math-ph/0703029v1

St. Petersburg Math. J., Vol. 17 (2006), No. 3, Pages 409-433

Physics

Mathematical Physics

Scientific paper

A generalized two-dimensional periodic Dirac operator is considered, with
$L^{\infty}$-matrix-valued coefficients of the first order derivatives and with
complex matrix-valued potential. It is proved that if the matrix-valued
potential has zero bound relative to the free Dirac operator, then the spectrum
of the operator in question contains no eigenvalues.

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