Non-Hermitian Hamiltonian versus E=0 localized states

Abstract

We analyze the zero energy solutions, of a two dimensional system which undergoes a non-radial symmetric, complex potential V(r,$\varphi$). 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.

12 pages, 10 figures

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• Spherical-separablility of non-Hermitian Hamiltonians and pseudo-PT-symmetry
• Spherical-separablility of non-Hermitian Dirac Hamiltonians and pseudo-PT-symmetry
• Two dimensional non-Hermitian harmonic oscillator: coherent states