Yayın:
Discrete density of states

dc.contributor.authorAydin, Alhun
dc.contributor.authorSisman, Altug
dc.date.accessioned2026-01-26T02:01:29Z
dc.date.issued2016-03-01
dc.description.abstractBy considering the quantum-mechanically minimum allowable energy interval, we exactly count number of states (NOS) and introduce discrete density of states (DOS) concept for a particle in a box for various dimensions. Expressions for bounded and unbounded continua are analytically recovered from discrete ones. Even though substantial fluctuations prevail in discrete DOS, they're almost completely flatten out after summation or integration operation. It's seen that relative errors of analytical expressions of bounded/unbounded continua rapidly decrease for high NOS values (weak confinement or high energy conditions), while the proposed analytical expressions based on Weyl's conjecture always preserve their lower error characteristic.
dc.description.abstract7 pages, 3 figures, Phys. Lett. A (2016)
dc.description.urihttps://doi.org/10.1016/j.physleta.2016.01.034
dc.description.urihttp://arxiv.org/pdf/1602.05219
dc.description.urihttps://dx.doi.org/10.48550/arxiv.1602.05219
dc.description.urihttp://arxiv.org/abs/1602.05219
dc.description.urihttps://dx.doi.org/10.1016/j.physleta.2016.01.034
dc.identifier.doi10.1016/j.physleta.2016.01.034
dc.identifier.endpage1240
dc.identifier.issn0375-9601
dc.identifier.openairedoi_dedup___::c0adf1e53afacf2b4994b580c60f52d0
dc.identifier.orcid0000-0002-1130-0936
dc.identifier.orcid0000-0002-7431-5115
dc.identifier.startpage1236
dc.identifier.urihttps://hdl.handle.net/11527/56742
dc.identifier.volume380
dc.language.isoeng
dc.publisherElsevier BV
dc.relation.ispartofPhysics Letters A
dc.rightsOPEN
dc.sdg.typeGoal 13: Climate Action
dc.sdg.typeGoal 7: Affordable and Clean Energy
dc.subjectStatistical Mechanics (cond-mat.stat-mech)
dc.subjectFOS: Physical sciences
dc.subjectCondensed Matter - Statistical Mechanics
dc.titleDiscrete density of states
dc.typeArticle
dspace.entity.typePublication

Dosyalar

Koleksiyonlar