Volume 2, Issue 4
Relativistic paramagnetism of a weakly interacting Fermi gas

Fu-Dian Men, Xiao-Gang He, Hui LiuBin Dong

J. At. Mol. Sci., 2 (2011), pp. 317-324.

Published online: 2011-02

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  • Abstract

By considering strict relativistic energy of single particle and using the methods of quantum statistics ˛aAthe relativistic paramagnetism of a weakly interacting Fermi gas in a weak magnetic filed is studied, and the relativistic most probable paramagnetic susceptibility as well as the average magnetic susceptibility of the system are solved. On the basis, the influences of relativistic effect on the most probable paramagnetic susceptibility of the system are discussed, and the relativistic critical value of particle number is given. It is shown that, comparing with nonrelativistic situation ˛aAwhen, the relativistic most probable magnetic susceptibility and the relativistic critical value of particle number have not changed. When ˛aAthe relativistic effects make the system display paramagnetism easily and susceptibility increase,but the relativistic effects also amplified the impact of the interaction on the magnetic susceptibility.

  • Keywords

Fermi gas the relativistic effect paramagnetism

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

menfudian@163.com (Fu-Dian Men)

dongbin@math.pku.edu.cn (Bin Dong)

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@Article{JAMS-2-317, author = {Men , Fu-Dian and He , Xiao-Gang and Liu , Hui and Dong , Bin}, title = {Relativistic paramagnetism of a weakly interacting Fermi gas}, journal = {Journal of Atomic and Molecular Sciences}, year = {2011}, volume = {2}, number = {4}, pages = {317--324}, abstract = {

By considering strict relativistic energy of single particle and using the methods of quantum statistics ˛aAthe relativistic paramagnetism of a weakly interacting Fermi gas in a weak magnetic filed is studied, and the relativistic most probable paramagnetic susceptibility as well as the average magnetic susceptibility of the system are solved. On the basis, the influences of relativistic effect on the most probable paramagnetic susceptibility of the system are discussed, and the relativistic critical value of particle number is given. It is shown that, comparing with nonrelativistic situation ˛aAwhen, the relativistic most probable magnetic susceptibility and the relativistic critical value of particle number have not changed. When ˛aAthe relativistic effects make the system display paramagnetism easily and susceptibility increase,but the relativistic effects also amplified the impact of the interaction on the magnetic susceptibility.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.121610.012211a}, url = {http://global-sci.org/intro/article_detail/jams/8166.html} }
TY - JOUR T1 - Relativistic paramagnetism of a weakly interacting Fermi gas AU - Men , Fu-Dian AU - He , Xiao-Gang AU - Liu , Hui AU - Dong , Bin JO - Journal of Atomic and Molecular Sciences VL - 4 SP - 317 EP - 324 PY - 2011 DA - 2011/02 SN - 2 DO - http://doi.org/10.4208/jams.121610.012211a UR - https://global-sci.org/intro/article_detail/jams/8166.html KW - Fermi gas KW - the relativistic effect KW - paramagnetism AB -

By considering strict relativistic energy of single particle and using the methods of quantum statistics ˛aAthe relativistic paramagnetism of a weakly interacting Fermi gas in a weak magnetic filed is studied, and the relativistic most probable paramagnetic susceptibility as well as the average magnetic susceptibility of the system are solved. On the basis, the influences of relativistic effect on the most probable paramagnetic susceptibility of the system are discussed, and the relativistic critical value of particle number is given. It is shown that, comparing with nonrelativistic situation ˛aAwhen, the relativistic most probable magnetic susceptibility and the relativistic critical value of particle number have not changed. When ˛aAthe relativistic effects make the system display paramagnetism easily and susceptibility increase,but the relativistic effects also amplified the impact of the interaction on the magnetic susceptibility.

Fu-Dian Men , Xiao-Gang He , Hui Liu & Bin Dong . (2019). Relativistic paramagnetism of a weakly interacting Fermi gas. Journal of Atomic and Molecular Sciences. 2 (4). 317-324. doi:10.4208/jams.121610.012211a
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