Non-Hermitian Hamiltonian versus E=0 localized states
  We analyze the zero energy solutions, of a two dimensional system which undergoes a non-radial symmetric, complex potential V(r,$\phi$). By virtue of the coherent states concept, the localized states are constructed, and the consequences of the imaginary part of the potential are found both analytically and schematically. 
S. Habib Mazharimousavi