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      Extending the four-body problem of Wolfes to non-translationally invariant interactions

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          Abstract

          We propose and solve exactly the Schr\"odinger equation of a bound quantum system consisting in four particles moving on a real line with both translationally invariant four particles interactions of Wolfes type \cite{Wolf74} and additional non translationally invariant four-body potentials. We also generalize and solve exactly this problem in any \(D\)-dimensional space by providing full eigensolutions and the corresponding energy spectrum. We discuss the domain of the coupling constant where the irregular solutions becomes physically acceptable

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          Author and article information

          Journal
          12 July 2012
          2013-03-14
          Article
          10.1007/s00601-013-0696-z
          1207.2933
          4bdbf6b0-12ba-49ae-ac7e-61d861d26496

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          Few-Body Systems 54 (2013) 1945
          15 pages
          math-ph math.MP

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