Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: II. Rigorous results

Simple item page
dc.creatorSokolov, A. V.
dc.date2006-10-10
dc.date2007-03-13
dc.date.accessioned2026-07-07T10:26:10Z
dc.date.available2026-07-07T10:26:10Z
dc.descriptionWe continue our investigation of the nonlinear SUSY for complex potentials started in the Part I (math-ph/0610024) and prove the theorems characterizing its structure in the case of non-diagonalizable Hamiltonians. This part provides the mathematical basis of previous studies. The classes of potentials invariant under SUSY transformations for non-diagonalizable Hamiltonians are specified and the asymptotics of formal eigenfunctions and associated functions are derived. Several results on the normalizability of associated functions at infinities are rigorously proved. Finally the Index Theorem on relation between Jordan structures of intertwined Hamiltonians depending of the behavior of elements of canonical basis of supercharge kernel at infinity is proven.
dc.description31 pp., comments on PT symmetry and few relevant refs are added
dc.identifierhttps://arxiv.org/abs/math-ph/0610022
dc.identifierhttp://arxiv.org/abs/math-ph/0610022
dc.identifierNucl.Phys.B773:137-171,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.03.015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176788
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectSpectral Theory
dc.subjectNuclear Theory
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleNon-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: II. Rigorous results
dc.typetext

Files

Collections

arXiv