Abstract
Volume: 11 Issue: 4 Pages: 465-477 Published: MAR 2000
Times Cited: 9 References: 15 Citation MapCitation Map beta
Abstract: 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. (C) 2000 Elsevier Science Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 465-477 |
| Number of pages | 13 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 11 |
| Issue number | 4 |
| Publication status | Published - Mar 2000 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics