Lax-Phillips evolution as an evolution of Gell-Mann-Hartle-Griffiths   histories and emergence of the Schr\"oedinger equation for a stable history
  Using the Gell-Mann-Hartle-Griffiths formalism in the framework of the Flesia-Piron form of the Lax-Phillips theory we show that the Schr\"oedinger equation may be derived as a condition of stability of histories. This mechanism is realized in a mathematical structure closely related to the Zeno effect. 
D. Bar and L.P. Horwitz