The relationship of electron Fermi energy with strong magnetic fields

Qiu He Peng, Zhi Fu Gao, Na Wang

Published 2012-01-15Version 1

In order to depict the quantization of Landau levels, we introduce Dirac $\delta$ function, and gain a concise expression for the electron Fermi energy, $E_{F}(e) \propto B^{1/4}$. The high soft X-ray luminosities of magnetars may be naturally explained by our theory.