par Antoniou, Ioannis 
;Prigogine, Ilya ;Sadovnichii, V.A.;Shkarin, Stanislav
Référence Chaos, solitons and fractals, 11, 4, page (465-477)
Publication Publié, 2000-03
;Prigogine, Ilya ;Sadovnichii, V.A.;Shkarin, StanislavRéférence Chaos, solitons and fractals, 11, 4, page (465-477)
Publication Publié, 2000-03
Article révisé par les pairs
| Résumé : | We extend the concept of time operator for general semigroups and construct a non-self-adjoint time operator for the diffusion equation which is intertwined with the unilateral shift. We obtain the spectral resolution, the age eigenstates and a new shift representation of the solution of the diffusion equation. Based on previous work we obtain similarly a self-adjoint time operator for Relativistic Diffusion. |
