%0 Journal Article %T Non-Hermitian Hamiltonian versus E=0 localized states %A S. Habib Mazharimousavi %J Mathematics %D 2008 %I arXiv %R 10.1088/1751-8113/41/24/244016 %X 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. %U http://arxiv.org/abs/0801.1549v1