Rigged Hilbert Space Approach to the Schrodinger Equation

Simple item page
dc.creatorde la Madrid, R.
dc.date2001-10-29
dc.date.accessioned2026-07-07T10:38:46Z
dc.date.available2026-07-07T10:38:46Z
dc.descriptionIt is shown that the natural framework for the solutions of any Schrodinger equation whose spectrum has a continuous part is the Rigged Hilbert Space rather than just the Hilbert space. The difficulties of using only the Hilbert space to handle unbounded Schrodinger Hamiltonians whose spectrum has a continuous part are disclosed. Those difficulties are overcome by using an appropriate Rigged Hilbert Space (RHS). The RHS is able to associate an eigenket to each energy in the spectrum of the Hamiltonian, regardless of whether the energy belongs to the discrete or to the continuous part of the spectrum. The collection of eigenkets corresponding to both discrete and continuous spectra forms a basis system that can be used to expand any physical wave function. Thus the RHS treats discrete energies (discrete spectrum) and scattering energies (continuous spectrum) on the same footing.
dc.description27 RevTex pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0110165
dc.identifierhttp://arxiv.org/abs/quant-ph/0110165
dc.identifierJ.Phys.A35:319-342,2002
dc.identifierdoi:10.1088/0305-4470/35/2/311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180840
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleRigged Hilbert Space Approach to the Schrodinger Equation
dc.typetext

Files

Collections

arXiv