Time operator for diffusion


Autoria(s): Shkarin, Stanislav
Data(s)

01/03/2000

Resumo

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.

Identificador

http://pure.qub.ac.uk/portal/en/publications/time-operator-for-diffusion(a4bf2609-2bc7-4a9d-8ab7-2c63e080ab70).html

http://www.scopus.com/inward/record.url?scp=0034159026&partnerID=8YFLogxK

Idioma(s)

eng

Direitos

info:eu-repo/semantics/restrictedAccess

Fonte

Shkarin , S 2000 , ' Time operator for diffusion ' Chaos, Solitons and Fractals , vol 11 , no. 4 , pp. 465-477 .

Palavras-Chave #/dk/atira/pure/subjectarea/asjc/3100/3109 #Statistical and Nonlinear Physics
Tipo

article