$η$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians

Details $η$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians $η$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians

2006-01-03

arxiv.org/abs/hep-th/0601017v5

Int.J.Theor.Phys.47:2029,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, content revised/regularized to cover 1D and 3D cases

Scientific paper

10.1007/s10773-007-9647-0

A class of spherically symmetric non-Hermitian Hamiltonians and their \eta-weak-pseudo-Hermiticity generators are presented. An operators-based procedure is introduced so that the results for the 1D Schrodinger Hamiltonian may very well be reproduced. A generalization beyond the nodeless states is proposed. Our illustrative examples include \eta-weak-pseudo-Hermiticity generators for the non-Hermitian weakly perturbed 1D and radial oscillators, the non-Hermitian perturbed radial Coulomb, and the non-Hermitian radial Morse models.

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