NARROW RESONANCES AS AN EIGENVALUE PROBLEM AND APPLICATIONS TO HIGH-ENERGY MAGNETIC RESONANCES - AN EXACTLY SOLUBLE MODEL

We formulate the problem of finding the narrow positive energy resonances in a deep potential well as an eigenvalue problem (thereby extending the scope of the discrete spectrum problem). We determine the number of resonances in an exactly soluble case. The method is then applied to a nonperturbative treatment of the magnetic resonances occurring in charge-dipole interactions, and the existence of the previously conjectured high mass narrow resonances in this model is proved. © 1980 American Institute of Physics.