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

References in corpus (2)

• Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator
• Non-Hermitian d-dimensional Hamiltonians with position dependent mass and their $\eta$-pseudo-Hermiticity generators

Cited by in corpus (2)

• Spherical-separablility of non-Hermitian Hamiltonians and pseudo-PT-symmetry
• Spherical-separablility of non-Hermitian Dirac Hamiltonians and pseudo-PT-symmetry