The harmonic oscillator potential perturbed by a combination of linear and non-linear Dirac delta interactions with application to Bose-Einstein condensation

Basit Öğe Kaydı
dc.authoridUncu, Haydar/0000-0003-4847-9682
dc.contributor.authorAkyuz, Cenk
dc.contributor.authorErman, Fatih
dc.contributor.authorUncu, Haydar
dc.date.accessioned2025-02-20T08:42:18Z
dc.date.available2025-02-20T08:42:18Z
dc.date.issued2024
dc.departmentTürk-Alman Üniversitesien_US
dc.description.abstractIn this paper, we study the bound state analysis of a one dimensional nonlinear version of the Schrodinger equation for the harmonic oscillator potential perturbed by a delta potential, where the nonlinear term is taken to be proportional to delta(x)vertical bar psi(x)vertical bar(2) psi(x). The bound state wave functions are explicitly found and the bound state energy of the system is algebraically determined by the solution of an implicit equation. Then, we apply this model to the Bose-Einstein condensation of a Bose gas in a harmonic trap with a dimple potential. We propose that the many-body interactions of the Bose gas can be effectively described by the nonlinear term in the Schrodinger equation. Then, we investigate the critical temperature, the condensate fraction, and the density profile of this system numerically.
dc.identifier.doi10.1016/j.physa.2024.129728
dc.identifier.issn0378-4371
dc.identifier.issn1873-2119
dc.identifier.scopus2-s2.0-85189745148
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.physa.2024.129728
dc.identifier.urihttps://hdl.handle.net/20.500.12846/1637
dc.identifier.volume641en_US
dc.identifier.wosWOS:001225880600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofPhysica A-Statistical Mechanics and Its Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250220
dc.subjectBose Einstein condensationen_US
dc.subjectDirac Delta potentialen_US
dc.subjectDimple potentialen_US
dc.subjectNonlinear Schrodinger equationen_US
dc.titleThe harmonic oscillator potential perturbed by a combination of linear and non-linear Dirac delta interactions with application to Bose-Einstein condensation
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu