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The energy level shifts, wave functions and the probability current distributions for the bound scalar and spinor particles moving in a uniform magnetic field

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Abstract

We discuss the equations for the bound one-active electron states based on the analytic solutions of the Schrödinger and Pauli equations for a uniform magnetic field and a single attractive δ(r)-potential. We show that the magnetic field indeed plays a stabilizing role in considered systems in a case of the weak intensity, but the opposite occurs in the case of strong intensity. These properties may be important for real quantum mechanical fermionic systems in two and three dimensions. In addition, we obtained that including the spin in the framework of the nonrelativistic approach allows correctly taking the effect of the magnetic field on the electric current into account.

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Authors and Affiliations

  1. Russian State Geological Prospecting University, Moscow, Russia

    V. N. Rodionov

  2. Lomonosov Moscow State University, Moscow, Russia

    G. A. Kravtsova

Authors
  1. V. N. Rodionov
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  2. G. A. Kravtsova
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Correspondence to V. N. Rodionov.

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Rodionov, V.N., Kravtsova, G.A. The energy level shifts, wave functions and the probability current distributions for the bound scalar and spinor particles moving in a uniform magnetic field. Phys. Part. Nuclei 42, 895–910 (2011). https://doi.org/10.1134/S1063779611060062

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