Generalized Kronig–Penney Hamiltonians

Generalized seniority from random Hamiltonians

We investigate the generic pairing properties of shell-model many-body Hamiltonians drawn from ensembles of random two-body matrix elements. Many features of pairing that are commonly attributed to the interaction are in fact seen in a large part of the ensemble space. Not only do the spectra show evidence of pairing with favored J = 0 ground states and an energy gap, but the relationship betwe...

Susy Shape-invariant Hamiltonians for the Generalized Dirac-coulomb Problem

A spin 1 2 relativistic particle described by a general potential in terms of the sum of the Coulomb potential with a Lorentz scalar potential is investigated via supersymmetry in quantum mechanics.

Generalized η-weak-pseudo-Hermiticity generators per radially symmetric Hamiltonians

A class η-weak-pseudo-Hermiticity generators for spherically symmetric non-Hermitian Hamiltonians are presented. An operators-based procedure is introduced so that the results for the 1D Schrödinger 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 ...

Generalized η-Pseudo-Hermiticity generators; radially symmetric Hamiltonians

A class of spherically symmetric non-Hermitian Hamiltonians and their η-pseudo-Hermiticity generators are presented. An operators-based procedure is introduced so that the results for the 1D Schrödinger Hamiltonian may very well be reproduced. A generalization beyond the nodeless states is proposed. Our illustrative examples include η-pseudo-Hermiticity generators for the non-Hermitian weakly p...

Nodal-line entanglement entropy: Generalized Widom formula from entanglement Hamiltonians