Programme

P.24 -- Poster, VCTP-46

Date: Tuesday, 5 October 2021

Time: 08:30 - 10:00

Numerical calculation of the dependence of the chemical potential on temperature for ideal quantum gases in 1, 2, and 3-dimensional spaces

Hieu B. Le (1), Uyen T. Nguyen (1), Giau N. Nguyen (1), Hieu V. Tran (1), Vinh N. T. Pham (1)

(1) Department of Physics, Ho Chi Minh City University of Education, Ho Chi Minh, Vietnam

In this study, the routines D_QDAGI and Q_ZREAL of IMSL packet are used to numerically calculate the chemical potentials of ideal quantum gases in 1, 2, and 3-dimensional spaces as functions of absolute temperature. We use the analytical formulae of [J. Low Temp. Phys. (2019) 197,412–444] as benchmarks to validate the accuracy of our results. In vice versa, we can evaluate the applicability of these proposed formulae in low- and high-temperature regimes. The results in this work are initiate for the ongoing project to analytical and numerical calculations of other thermodynamic quantities of ideal quantum gases in 1, 2, and 3-dimensional spaces such as energy, heat capacity, and entropy.

Presenter: Pham Nguyen Thanh Vinh