Om. Ivanov et Ag. Savinkov, RELATIVISTIC SPIN 1 2 PARTICLE ON THE TOTAL SPACE OF U(1)-MONOPOLE BUNDLE/, International journal of modern physics A, 8(14), 1993, pp. 2487-2506
A relativistic spin 1/2 particle quantum dynamics on the total space P
of principle bundle, which is commonly attributed to Dirac monopole,
is described. This dynamics is completely characterized with the help
of additional U(1)-bundle P which turned out to be connected with sca
ttering problem. We formulate the representation in which the Hamilton
ian has the most simple form. Lift of the Lorentz group to the total s
pace is constructed.