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Theory of the de Haas-van Alp hen effect during magnetic breakthrough of conduction electrons with a spin-orbit interaction You. N. Pro shin and N. Km. Ustinov Kazan State University, 420008 Kazan,
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The theory is consistent and very successful in showing the de Haas-van Alp hen effect and the decay of resonance. The results have proved to be very valuable in the calculation of the nuclear spins in the quantum field equations. Z. J. Yang, I. B. Upper, B. M. Fleshier and K. H. Kim, Phys. Rev. Letters 89, 679 (August 1994) ZH. ESP. Tenor. Fit. 105, 155 (January 1995) I. B. Upper, Z. J. Yang, B. M. Fleshier and K. H. Kim The Numerical Methods Laboratory, University of Toronto, 3rd floor, room 602, Toronto, Ontario, Canada, M5C 3E1 E. A. D'Avila Theory of magnetic breakdown (MB), in which the spin-orbit interaction is considered, has been developed. The results are very valuable in the calculation of the nuclear spins in the quantum field equations. The results appear to be consistent with the theory of de Haas-van Alp hen. C. A. Chunk, J. V. Fusion (Submitted 1 January 1999) The de Haas-van Alp hen effect and the electron spin correlation constant in the presence of a magnetic field: A simple approach to the numerical calculation of the coupling constant J. V. Fusion (Submitted 24 May 2001; accepted 31 May 2002). PJ. ESP. Tenor. Fit. 106, 154 (January 2002) ZH. ESP. Tenor. Fit. 104, 139-155 (January 2003) A mathematical description of the de Haas-van Alp hen effect is presented in terms of the number of spin moments in the conduction electron. The effects on the electron and its spin-orbit interaction are clearly demonstrated. This is a new concept in the understanding of magnetoresistance and the de Haas-van Alp hen relationship. A comparison between the results in the theoretical and the numerical calculations leads to the conclusion that the de Haas-van Alp hen effect may be a major factor in the quantum electron spins but that, for this reason, its effects in the magnetic fields in which electrons can exist are probably small and are not a serious problem for practical applications, such as computing power. I. B. Upper, Z. J. Yang, B. M. Fleshier and K. H.

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