$\eta$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians

Abstract

A class of spherically symmetric non-Hermitian Hamiltonians and their η-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 η-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.

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

References in corpus (7)

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• Pseudo-hermitian interaction between an oscillator and a spin half particle in the external magnetic field
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Cited by in corpus (6)

• Einstein-Yang-Mills black hole solution in higher dimensions by the Wu-Yang Ansatz
• Torsion effects on a relativistic position-dependent mass system
• Coulomb-type interaction under Lorentz symmetry breaking effects
• Equivalent Hermitian operator from supersymmetric quantum mechanics
• Spherical-separablility of non-Hermitian Hamiltonians and pseudo-PT-symmetry
• Spherical-separablility of non-Hermitian Dirac Hamiltonians and pseudo-PT-symmetry