The Markov approximation revisited: inconsistency of the standard quantum Brownian motion model

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Article discussing the Markov approximation and inconsistency of the standard quantum Brownian motion model.

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15 p.

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Rocco, A. (Andrea) & Grigolini, Paolo February 1999.

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This article is part of the collection entitled: UNT Scholarly Works and was provided by UNT College of Arts and Sciences to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 100 times . More information about this article can be viewed below.

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  • Rocco, A. (Andrea) University of North Texas
  • Grigolini, Paolo University of North Texas; Università di Pisa; Consiglio nazionale delle ricerche (Italy). Istituto di biofisica

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Description

Article discussing the Markov approximation and inconsistency of the standard quantum Brownian motion model.

Physical Description

15 p.

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This is the preprint version of the article. Reprinted with permission from Elsevier Science Ltd., all rights reserved. The final definitive version is available here: http://dx.doi.org/10.1016/S0375-9601(98)00940-2

Abstract: We revisit the Markov approximation necessary to derive ordinary Brownian motion from a model widely adopted in literature for this specific purpose. We show that this leads to internal inconsistencies, thereby implying that further search for a more satisfactory model is required.

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  • Physics Letter A, 1999, New York: Elsevier Science Ltd., pp. 115-124

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Publication Information

  • Publication Title: Physics Letters A
  • Volume: 252
  • Issue: 3-4
  • Page Start: 115
  • Page End: 124
  • Peer Reviewed: Yes

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  • February 1999

Added to The UNT Digital Library

  • Feb. 1, 2013, 9:58 a.m.

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  • April 1, 2015, 1:02 p.m.

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Rocco, A. (Andrea) & Grigolini, Paolo. The Markov approximation revisited: inconsistency of the standard quantum Brownian motion model, article, February 1999; [New York, New York]. (digital.library.unt.edu/ark:/67531/metadc139465/: accessed June 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.