t-violation and quaternionic state oscillations
G. Scolarici, Luigi Solombrino
We derive, using the quaternionic group representation theory, the possible forms of the t -violating Hamiltonians, and consider time evolution in a two-level system when a t -violating term is added to a t -preserving unperturbed Hamiltonian. Transition probabilities are calculated; moreover, the time evolution of a complex state is determined analytically, showing that a quaternionic component arises naturally in its evolution. Finally, some properties of the time-reversal observable are studied and a set of selection rules is obtained.
Journal of Physics A Mathematical and General•Oct 19, 2000•2 citations