Time operator for diffusion

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


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 languageEnglish
Pages (from-to)465-477
Number of pages13
JournalChaos, Solitons and Fractals
Issue number4
Publication statusPublished - Mar 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics


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