Non-Hermitian
Hamiltonians with a real spectrum
and their physical applications
ALI MOSTAFAZADEH
Department of Mathematics,
E-mail: amostafazadeh@ku.edu.tr
Abstract. We
present an evaluation of some recent attempts to
understand the role of pseudo-Hermitian and PT-symmetric
Hamiltonians in modelling unitary
quantum systems and elaborate on a
particular physical phenomenon
whose discovery originated in the
study of complex scattering
potentials.
Keywords.
PT symmetry; pseudo-Hermiticity; metric operator;
unitary equivalence; scattering
potential; spectral singularity;
resonance.
PACS No. 03.65.-w