• Türkçe
    • English
  • English 
    • Türkçe
    • English
  • Login
View Item 
  •   Home
  • Avesis
  • Dokümanı Olmayanlar
  • Makale
  • View Item
  •   Home
  • Avesis
  • Dokümanı Olmayanlar
  • Makale
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Investigation of classical and fractional Bose-Einstein condensation for harmonic potential

Date
2013
Author
Uzar, Neslihan
Ballikaya, Sedat
Metadata
Show full item record
Abstract
In this study, classical and fractional Gross-Pitaevskii (GP) equations were solved for harmonic potential and repulsive interactions between the boson particles using the Homotopy Perturbation Method (HPM) to investigate the ground state dynamics of Bose-Einstein Condensation (BEC). The purpose of writing fractional GP equations is to consider the system in a more realistic manner. The memory effects of non-Markovian processes involving long-range interactions between bosons with the restriction of the ergodic hypothesis and the effect of non-Gaussian distributions of bosons in the condensation can be taken into account with time fractional and space fractional GP equations, respectively. The obtained results of the fractional GP equations differ from the results of the classical one. While the Gauss distribution describing the homogeneous, reversible and unitary system is obtained from the classical GP equation, the probability density of the solution function of fractional GP equations is non-conserved. This situation describes the inhomogeneous, irreversible and non-unitary systems. (c) 2012 Elsevier B.V. All rights reserved.
URI
http://hdl.handle.net/20.500.12627/152822
https://doi.org/10.1016/j.physa.2012.11.039
Collections
  • Makale [92796]

Creative Commons Lisansı

İstanbul Üniversitesi Akademik Arşiv Sistemi (ilgili içerikte aksi belirtilmediği sürece) Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.

DSpace software copyright © 2002-2016  DuraSpace
Contact Us | Send Feedback
Theme by 
Atmire NV
 

 


Hakkımızda
Açık Erişim PolitikasıVeri Giriş Rehberleriİletişim
sherpa/romeo
Dergi Adı/ISSN || Yayıncı

Exact phrase only All keywords Any

BaşlıkbaşlayaniçerenISSN

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsTypesThis CollectionBy Issue DateAuthorsTitlesSubjectsTypes

My Account

LoginRegister

Creative Commons Lisansı

İstanbul Üniversitesi Akademik Arşiv Sistemi (ilgili içerikte aksi belirtilmediği sürece) Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.

DSpace software copyright © 2002-2016  DuraSpace
Contact Us | Send Feedback
Theme by 
Atmire NV