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29 March 2024
 
  » arxiv » hep-th/0112021

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Bound States in n Dimensions (Especially n = 1 and n = 2)
N.N. Khuri ; A. Martin ; T.T. Wu ;
Date 4 Dec 2001
Journal Few Body Syst. 31 (2002) 83-89
Subject hep-th
AffiliationRockefeller Univ.), A. Martin (CERN, Geneva) and T.T. Wu (Harvard Univ., Cambridge
AbstractWe 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.
Source arXiv, hep-th/0112021
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