Energy Fluctuation of Ideal Fermi Gas Trapped under Generic Power Law Potential U=∑i=1dci|xi/ai|ni in d Dimensions. (1st April 2016)

• Record Type: Journal Article
• Authors: Faruk, Mir Mehedi; Rahman, Md. Muktadir; Debnath, Dwaipayan; Himel, Md. Sakhawat Hossain
• Is Part Of: Communications in theoretical physics. Volume 65:Number 4(2016:Apr.)
• Page Start: 465
• Page End: 468
• Publication Date: 2016-04-01
• Subjects: 03.75.Ss -- 05.30.−d -- 05.30.Fk; Fermi gas -- power law potential -- energy fluctuation; Physics -- Periodicals; 530.105
• DOI: 10.1088/0253-6102/65/4/465
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: Energy fluctuation of ideal Fermi gas trapped under generic power law potential U = ∑ i = 1 d c i | x i / a i | n i has been calculated in arbitrary dimensions. Energy fluctuation is scrutinized further in the degenerate limit μ ≫ KB T with the help of Sommerfeld expansion. The dependence of energy fluctuation on dimensionality and power law potential is studied in detail. Most importantly our general result can not only exactly reproduce the recently published result regarding free and harmonically trapped ideal Fermi gas in d = 3 but also can describe the outcome for any power law potential in arbitrary dimension.