ntum space the solutions of this are given by (56) (57) e W(E, = 6(4E:sinh2 ( 12 ) — pipie 4 — 1712)x(p). (58) 4.3 Dynamics in position space 4.3.1 Propagation and spreading of a wavepacket We now perform the transform (55) in the case of one spatial dimension with a solution (58) with X( 9) = e y= wl 2Ae