On the concept of spectral
singularities
GUSEIN SH GUSEINOV
Department of Mathematics,
E-mail: guseinov@atilim.edu.tr
Abstract. In this
paper, we discuss the concept of spectral singularities for
non-Hermitian
Hamiltonians. We exihibit spectral singularities of
some
well-known concrete Hamiltonians with
complex-valued coefficients.
Keywords. Non-Hermitian
Hamiltonian; resolvent; spectrum; spectral
singularity; expansion in eigenfunctions.
PACS Nos 02.30.Tb; 03.65.-w; 03.65.Nk