Using Kaluza-Klein theory we study the quantum mechanics of a scalar partic
le in the background of a chiral cosmic string and of a magnetic cosmic str
ing. We show that the wave functions and the energy spectra associated with
the particle depend on the global features of those space-times. These dep
endences represent the analogs of the well-known Aharonov-Bohm effect. This
effect appears as the sum of two contributions, one of gravitational origi
n and the other of electromagnetic origin.