Open AccessON THE DERIVATION OF THERMODYNAMIC QUANTITIES OF IDEAL FERMI GAS IN HARMONIC TRAP
Author(s) -
PHẠM NGUYỄN THÀNH VINH
Publication year - 2017
Publication title -
tạp chí khoa học đại học huế: khoa học tự nhiên/tạp chí khoa học đại học huế: khoa học tự nhiên (online)
Language(s) - English
Resource type - Journals
eISSN - 2615-9678
pISSN - 1859-1388
DOI - 10.26459/jns.v126i1b.4116
Subject(s) - ideal (ethics) , ideal gas , harmonic , fermi gamma ray space telescope , trap (plumbing) , fermi gas , physics , function (biology) , harmonic potential , thermodynamics , quantum mechanics , philosophy , epistemology , evolutionary biology , biology , meteorology , electron
In this paper, we provide comprehensive study of the thermodynamic quantities of the ideal Fermi gas confined in a three-dimensional harmonic trap by using the properties of Fermi – Dirac integral function both analytically and numerically. The dependences of the chemical potential, total energy and heat capacity on the temperature are obtained via the appropriately approximated analytic formulae. Afterwards, the results are compared with the exact numerical ones in order to evaluate the applicability of these formulae.