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Behaviour of the wave function near the origin in the radial case

We give one more proof in two and three space dimensions that the irregular solution of the Schrödinger equation, for zero angular momentum, is in fact the solution of an equation containing an extra 'delta function'. We propose another criterium to eliminate the irregular solution which i...

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Autor principal: Martin, André Jean
Lenguaje:eng
Publicado: 2004
Materias:
Acceso en línea:http://cds.cern.ch/record/807871
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author Martin, André Jean
author_facet Martin, André Jean
author_sort Martin, André Jean
collection CERN
description We give one more proof in two and three space dimensions that the irregular solution of the Schrödinger equation, for zero angular momentum, is in fact the solution of an equation containing an extra 'delta function'. We propose another criterium to eliminate the irregular solution which is to require the validity of the virial theorem of which we give a general proof in the classical and quantum cases.
id cern-807871
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2004
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spelling cern-8078712019-09-30T06:29:59Zhttp://cds.cern.ch/record/807871engMartin, André JeanBehaviour of the wave function near the origin in the radial caseGeneral Theoretical PhysicsWe give one more proof in two and three space dimensions that the irregular solution of the Schrödinger equation, for zero angular momentum, is in fact the solution of an equation containing an extra 'delta function'. We propose another criterium to eliminate the irregular solution which is to require the validity of the virial theorem of which we give a general proof in the classical and quantum cases.quant-ph/0411196CERN-PH-TH-2004-242oai:cds.cern.ch:8078712004-11-29
spellingShingle General Theoretical Physics
Martin, André Jean
Behaviour of the wave function near the origin in the radial case
title Behaviour of the wave function near the origin in the radial case
title_full Behaviour of the wave function near the origin in the radial case
title_fullStr Behaviour of the wave function near the origin in the radial case
title_full_unstemmed Behaviour of the wave function near the origin in the radial case
title_short Behaviour of the wave function near the origin in the radial case
title_sort behaviour of the wave function near the origin in the radial case
topic General Theoretical Physics
url http://cds.cern.ch/record/807871
work_keys_str_mv AT martinandrejean behaviourofthewavefunctionneartheoriginintheradialcase