Canonical Quantization on a Doubly Connected Space and the Aharonov–Bohm Phase

Masao Hirokawa

Masao Hirokawa

De‐Hone Lin

Yoshio Ohnuki, S. Kamefuchi

QIANShang-Wu, GUZhi-Yu

This article shows that in Aharonov-Bohm (AB) effect arrangements, the electron wave propagation space is doubly connected for two real coherent sources, and simply connected under certain condition for two virtual coherent sources, and all known AB experiments belong to the latter case. By the Feynman path integral method, we show that in the former case there is no AB effect, whereas in the latter case there is.

H. Nikolić