TY - JOUR
T1 - Group theoretical derivation of the minimal coupling principle
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
M3 - 10.1098/rspa.2016.0629
VL - 473
IS - 2200
AU - NisticĂ˛, Giuseppe
Y1 - 2017/04/01
UR - http://rspa.royalsocietypublishing.org/content/473/2200/20160629.abstract
N2 - The group theoretical methods worked out by Bargmann, Mackey and Wigner, which deductively establish the Quantum Theory of a free particle for which Galileian transformations form a symmetry group, are extended to the case of an interacting particle. In doing so, the obstacles caused by loss of symmetry are overcome. In this approach, specific forms of the wave equation of an interacting particle, including the equation derived from the minimal coupling principle, are implied by particular first-order invariance properties that characterize the interaction with respect to specific subgroups of Galileian transformations; moreover, the possibility of yet unknown forms of the wave equation is left open.
ER -