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Keywords:

  • Maximum entropy;
  • Quantum mechanics;
  • Radial wave function

Abstract

From the sole knowledge (at a finite number of points) of the numerical values of the potential V(r) corresponding to Schrödinger's radial equation, it is found that recourse to Information Theory (IT) concepts allows one to infer the pertinent wave functions (and eigenvalues) without attempting to solve the concomitant differential equation. Moreover, the underlying IT ideas allow for an analytical treatment that yields exact wave functions of the maximum (quantal) entropy form in a number of cases of interest.