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Both the nonrelativistic scattering and the spectrum in the presence of theAharonov-Bohm potential are analyzed. The single-particle density of states(DOS) for different self-adjoint extensions is calculated. The DOS provides alink between different physical quantities and is a natural starting point fortheir calculation. The consequences of an asymmetry of the S matrix for thegeneric self-adjoint extension are examined.  I. Introduction  II. Impenetrable flux tube and the density of states  III. Penetrable flux tube and self-adjoint extensions  IV. The S matrix and scattering cross sections  V. The Krein-Friedel formula and the resonance  VI. Regularization  VII. The R --> 0 limit and the interpretation of self-adjoint extensions  VIII. Energy calculations  IX. The Hall effect in the dilute vortex limit  X. Persistent current of free electrons in the plane pierced by a flux tube  XI. The 2nd virial coefficient of nonrelativistic interacting anyons  XII. Discussion of the results and open questionsComment: 68 pages, plain latex, 7 figures, 3 references and one figure added  plus a few minor text correction

Single-particle density of states, bound states, phase-shift flip, and a resonance in the presence of an Aharonov-Bohm potential