Solution of the One-Dimensional <i>N</i>-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

The quantum-mechanical problems of N 1-dimensional equal particles of mass m interacting pairwise via quadratic (``harmonical'') and/or inversely quadratic (``centrifugal'') potentials is solved. In the first case, characterized by the pair potential ¼mω2(xi − xj)2 + g(xi − xj)−2, g &amp;gt; −ℏ2/(4m... View More