Bound States in n Dimensions (Especially n = 1 and n = 2)

We stress that in contradiction with what happens in space dimensions $n \geq 3$, there is no strict bound on the number of bound states with the same structure as the semi-classical estimate for large coupling constant and give, in two dimensions, examples of weak potentials with one or infinitely...

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Detalles Bibliográficos
Autores principales: Khuri, N.N., Martin, Andre, Wu, Tai Tsun
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/s006010200003
http://cds.cern.ch/record/529286
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author Khuri, N.N.
Martin, Andre
Wu, Tai Tsun
author_facet Khuri, N.N.
Martin, Andre
Wu, Tai Tsun
author_sort Khuri, N.N.
collection CERN
description We stress that in contradiction with what happens in space dimensions $n \geq 3$, there is no strict bound on the number of bound states with the same structure as the semi-classical estimate for large coupling constant and give, in two dimensions, examples of weak potentials with one or infinitely many bound states. We derive bounds for one and two dimensions which have the "right" coupling constant behaviour for large coupling.
id cern-529286
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
record_format invenio
spelling cern-5292862021-11-25T03:17:01Zdoi:10.1007/s006010200003http://cds.cern.ch/record/529286engKhuri, N.N.Martin, AndreWu, Tai TsunBound States in n Dimensions (Especially n = 1 and n = 2)Particle Physics - TheoryWe stress that in contradiction with what happens in space dimensions $n \geq 3$, there is no strict bound on the number of bound states with the same structure as the semi-classical estimate for large coupling constant and give, in two dimensions, examples of weak potentials with one or infinitely many bound states. We derive bounds for one and two dimensions which have the "right" coupling constant behaviour for large coupling.We stress that in contradiction with what happens in space dimensions $n \geq 3$, there is no strict bound on the number of bound states with the same structure as the semi-classical estimate for large coupling constant and give, in two dimensions, examples of weak potentials with one or infinitely many bound states. We derive bounds for one and two dimensions which have the right coupling constant behaviour for large coupling.hep-th/0112021CERN-TH-2001-330CERN-TH-2001-330oai:cds.cern.ch:5292862001-12-04
spellingShingle Particle Physics - Theory
Khuri, N.N.
Martin, Andre
Wu, Tai Tsun
Bound States in n Dimensions (Especially n = 1 and n = 2)
title Bound States in n Dimensions (Especially n = 1 and n = 2)
title_full Bound States in n Dimensions (Especially n = 1 and n = 2)
title_fullStr Bound States in n Dimensions (Especially n = 1 and n = 2)
title_full_unstemmed Bound States in n Dimensions (Especially n = 1 and n = 2)
title_short Bound States in n Dimensions (Especially n = 1 and n = 2)
title_sort bound states in n dimensions (especially n = 1 and n = 2)
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/s006010200003
http://cds.cern.ch/record/529286
work_keys_str_mv AT khurinn boundstatesinndimensionsespeciallyn1andn2
AT martinandre boundstatesinndimensionsespeciallyn1andn2
AT wutaitsun boundstatesinndimensionsespeciallyn1andn2

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