“…The interaction between electric and magnetic fields and multipole moments has attracted attention in a great deal of studies, such as [1][2][3][4][5][6][7][8][9][10][11][12][13], the holonomic quantum computation [14][15][16], and the Landau quantization [17,18]. Besides, recent studies of the interaction between a moving electric moment and external fields [11,12] have shown a difference between the field configuration that yields the occurrence of geometric phases for an electric charge [1,2,19], an electric dipole moment [3,4,9,10], and a moving electric moment.…”