Canuto and Chiu 1968

Canuto, V., and H.-Y. Chiu, 1968: Quantum theory of an electron gas in intense magnetic fields. Phys. Rev., 173, 1210-1219, doi:10.1103/PhysRev.173.1210.

In this paper we have developed the quantum theory of a relativistic electron gas in magnetic fields of arbitrary strength, and we have obtained the equation of state for such a gas. Intense magnetic fields (of field strengths ~10¹³ G) are believed to exist during gravitational collapse and in collapsed astronomical objects. Our results show that the stress tensor is very anisotropic when < p_z²>m²c² [p_z = (z momentum) = (momentum parallel to the field)] is smaller than (2HH_c)¹², where H is the field and H_c = m²c³he = 4.414×10¹³ G. At a temperature of 10⁹ °K or a density of 10⁵ g/cm³, the theory developed here must be used if H ≳ 10¹² G.

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Canuto, V., and Chiu, H.-Y.: Quantum theory of an electron gas in intense magnetic fields, Phys. Rev., 173, 1210-1219, doi:10.1103/PhysRev.173.1210, 1968.

Canuto, V., and H.-Y. Chiu (1968), Quantum theory of an electron gas in intense magnetic fields, Phys. Rev., 173, 1210-1219, doi:10.1103/PhysRev.173.1210.

Canuto, V., and H.-Y. Chiu, 1968: Quantum theory of an electron gas in intense magnetic fields. Phys. Rev., 173, 1210-1219, doi:10.1103/PhysRev.173.1210.

Canuto, V., & Chiu, H.-Y. 1968, Phys. Rev., 173, 1210, doi:10.1103/PhysRev.173.1210.

Canuto V, Chiu H-Y. Quantum theory of an electron gas in intense magnetic fields, Phys Rev 1968;173:1210-1219. doi:10.1103/PhysRev.173.1210.

V. Canuto, H.-Y. Chiu, Phys. Rev. 173, 1210-1219, doi:10.1103/PhysRev.173.1210 (1968).