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Landau Diamagnetism, Pauli Paramagnetism, and Determination of Longitudinal and Transverse Kinetic Energy Components of a Degenerate Nonrelativistic Electron Gas

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Abstract

The Fermi energy, density of average kinetic energy, and average density of kinetic energy of the transverse finite motion of an electron gas of a specified concentration are calculated taking into account Landau diamagnetism and Pauli paramagnetism. The kinetic energy of a longitudinal continuous electron motion along the direction of the external magnetic field H is estimated. It is shown that the kinetic energy of the longitudinal continuous motion vanishes with increase in the external magnetic field strength in the quantum limit where the maximum Landau quantum number N m = 0. For N m > 0, the longitudinal kinetic energy component of a degenerate electron gas somewhat increases with magnetic field strength. The cause of the erroneous result is discussed.

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Authors and Affiliations

  1. Brest State University, France

    V. O. Maslennikov, A. N. Pankrat'eva & G. A. Shul'man

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  1. V. O. Maslennikov
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  2. A. N. Pankrat'eva
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  3. G. A. Shul'man
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Maslennikov, V.O., Pankrat'eva, A.N. & Shul'man, G.A. Landau Diamagnetism, Pauli Paramagnetism, and Determination of Longitudinal and Transverse Kinetic Energy Components of a Degenerate Nonrelativistic Electron Gas. Russian Physics Journal 44, 447–453 (2001). https://doi.org/10.1023/A:1012336224958

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  • DOI: https://doi.org/10.1023/A:1012336224958

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