 96490 Gerald Teschl
 Renormalized Oscillation Theory for Dirac Operators
(36K, LaTeX2e)
Oct 15, 96

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. Oscillation theory for onedimensional Dirac operators with separated boundary
conditions is investigated. Our main theorem reads: If $\lambda_{0,1}\in
\mathbb R$
and if $u,v$ solve the Dirac equation $H u= \lambda_0 u$, $H v= \lambda_1
v$ (in
the weak sense) and respectively satisfy the boundary condition on the
left/right,
then the dimension of the spectral projection $P_{(\lambda_0, \lambda_1)}(H)$
equals the number of zeros of the Wronskian of $u$ and $v$. As an
application we
establish finiteness of the number of eigenvalues in essential spectral gaps of
perturbed periodic Dirac operators.
 Files:
96490.tex