Ground State of a One-Dimensional <i>N</i>-Body System

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  • F. Calogero
    Istituto di Fisica, Università di Roma and Istituto Nazionale di Fisica Nucleare Sezione di Roma, Rome, Italy

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<jats:p>The problem of N quantum-mechanical equal particles interacting pairwise by inverse-cube forces (``centrifugal potential'') in addition to linear forces (``harmonical potential'') is considered in a onedimensional space. An explicit expression for the ground-state energy and for the corresponding wavefunction is exhibited. A class of excited states is similarly displayed.</jats:p>

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