Abstract
The effect of an external magnetic field on the ionization equilibrium of atoms in the nondegenerate nonrelativistic plasma is examined. When taken into account that the interaction of the magnetic moments of electrons with the magnetic field immediately changes their kinetic energy, which is incorrect, the degree of ionization of atoms will increase with increase in the magnetic field strength compared to the atomic concentration in the absence of a magnetic field at the same temperature. When taken into account that this energy changes in view of the Pauli principle and spontaneous minimization of the quantum system, the degree of ionization must decrease with increase in the external magnetic field strength, that is, a strong magnetic field suppresses ionization of atoms in the nonrelativistic plasma at a given temperature.
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References
L. D. Landau and E. M. Lifshits, Statistical Physics [in Russian], Nauka, Moscow (1976).
Yu. N. Gnedin, G. G. Pavlov, and A. I. Tsygan, Zh. Eksp. Teor. Fiz.66, No. 2, 421–431 (1974).
L. D. Landau and E. M. Lifshits, Quantum Mechanics [in Russian], Nauka, Moscow (1989).
G. A. Shul'man, Izv. Vyssh. Uchebn. Zaved., Fiz. (in print).
G. A. Shul'man, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 14–19 (1997).
G. A. Shul'man, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 50–55 (1999).
B. M. Askerov, Kinetic Effects in Semiconductors [in Russian], Nauka, Leningrad (1970).
W. Pauli, Works on Quantum Theory [Russian translation], Nauka, Moscow (1977).
V. G. Bagrov and O. F. Dorofeev, Vestn. MGU,77, No. 2, 97–101 (1966).
I. M. Ternov, V. G. Bagrov, and O. F. Dorofeev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 63–69 (1968).
V. G. Bagrov, O. F. Dorofeev, Yu. N. Kargin, G. F. Kopytov, and G. K. Razina, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 128 (1988).
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Byelorussian State University; Brest State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 36–39, July, 1999.
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Maslennikov, V.O., Shul'man, G.A. Ionization equilibrium of atoms in a strong magnetic field (the saha formula). Russ Phys J 42, 620–623 (1999). https://doi.org/10.1007/BF02513226
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DOI: https://doi.org/10.1007/BF02513226