DERIVATION OF THERMODYNAMIC QUANTITIES OF IDEAL FERMI GAS IN HARMONIC TRAP
Tập 126 Số 1B (2017), Nghiên cứu
Tập 126 Số 1B (2017)

DERIVATION OF THERMODYNAMIC QUANTITIES OF IDEAL FERMI GAS IN HARMONIC TRAP

Nghiên cứu
https://doi.org/10.26459/hueuni-jns.v126i1B.4116
Đã xuất bản 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
Trường Đại học Sư Phạm Tp. HCM

Tóm tắt

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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