Linear representation of energy-dependent Hamiltonians

dc.creatorZnojil, Miloslav
dc.date2004-03-30
dc.date2004-04-20
dc.date.accessioned2026-07-07T06:09:27Z
dc.date.available2026-07-07T06:09:27Z
dc.descriptionEffective (i.e., subspace-constrained) Hamiltonians become, by construction, energy-dependent while all the energy-dependent forces prove non-linear because the energy itself is merely an eigenvalue of the Hamiltonian H. One of the most natural resolutions of such a puzzle is proposed via an introduction of teh two separate linear representatives of the respective right and left action of H=H(E). Both the new energy-independent operators are non-Hermitian so that the formalism admits a natural extension to non-Hermitian initial H(E)s.
dc.description14 pages - first half of the material to be presented during 2nd International Workshop on Pseudo-Hermitian Hamiltonians in June (cf. http://www.ujf.cas.cz/PTsymmetry)
dc.identifierhttps://arxiv.org/abs/quant-ph/0403223
dc.identifierhttp://arxiv.org/abs/quant-ph/0403223
dc.identifierPhys. Lett. A 326 (2004) 70 - 76
dc.identifierdoi:10.1016/j.physleta.2004.04.036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91963
dc.subjectQuantum Physics
dc.titleLinear representation of energy-dependent Hamiltonians
dc.typetext

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