DERIVATION OF THERMODYNAMIC QUANTITIES OF IDEAL FERMI GAS IN HARMONIC TRAP
Vol. 126 No. 1B (2017), Original Article
Vol. 126 No. 1B (2017)

DERIVATION OF THERMODYNAMIC QUANTITIES OF IDEAL FERMI GAS IN HARMONIC TRAP

Original Article
https://doi.org/10.26459/hueuni-jns.v126i1B.4116
Published 2017-07-15
Ho Hoang Huy
Department of Physics, Ho Chi Minh University of Pedagogy, 280 An Duong Vuong St., District 5, Ho Chi Minh City
Tran Duong Anh Tai
Department of Physics, Ho Chi Minh University of Pedagogy, 280 An Duong Vuong St., District 5, Ho Chi Minh City
Tomotake Yamakoshi
Institute for Laser Science, University of Electro-Communications,1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan
Pham Nguyen Thanh Vinh
Khoa Vật lý, Đại học Sư phạm Tp.HCM
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How to Cite

1.
Huy HH, Anh Tai TD, Yamakoshi T, Vinh PNT. DERIVATION OF THERMODYNAMIC QUANTITIES OF IDEAL FERMI GAS IN HARMONIC TRAP. hueuni-jns [Internet]. 2017Jul.15 [cited 2024Apr.19];126(1B):109-18. Available from: http://jos.hueuni.edu.vn/index.php/hujos-ns/article/view/4116
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Abstract

In this paper, we provide a comprehensive study of the thermodynamic quantities of the ideal Fermi gas confined in a three-dimensional harmonic trap by using the properties of the Fermi-Dirac integral function both analytically and numerically. The analytical formulae describing the dependences of the chemical potential, total energy and heat capacity on the temperature are obtained via the appropriate approximations. Afterwards, the results are compared with the well-converged numerical calculations in order to evaluate the applicability of these formulae.

https://doi.org/10.26459/hueuni-jns.v126i1B.4116
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