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Quantization of Magnetic Flux Through the Orbits of the Hydrogen Atom

And Its Relation to Hyperfine Interaction Based on the Rutherford-Bohr Model

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Abstract

The quantization of magnetic flux through the orbits of the hydrogen atom is investigated on the basis of the Rutherford-Bohr model of the atom. In contrast to earlier studies based on magnetic fields originating from the magnetic moment of the proton, here the origin of the magnetic flux is taken to be the orbiting electron itself. The effect of the magnetic moment of the proton on the magnetic flux through the orbit is studied in more detail. The energy difference due to opposite directions of the magnetic moment of the proton is shown to result in a fractional amount of 3/8 of the hyperfine level splitting of the lowest Bohr orbit. This ratio was also observed for the fine structure energy level splitting when the spin of the electron is neglected.

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References

  1. Saglam, Z., Boyacioglu, B.: Quantized magnetic flux through the ground-state orbit of the hydrogen atom. J. Russ. Laser Res. 28, 142–147 (2007)

    Article  Google Scholar 

  2. Saglam, M., Boyacioglu, B., Saglam, Z., Wan, K.K.: Quantized magnetic flux through the excited-state orbit of the hydrogen atom. J. Russ. Laser Res. 28, 267–271 (2007)

    Article  Google Scholar 

  3. Wan, K.K., Saglam, M.: Intrinsic magnetic flux of the electrons’s orbital and spin motion. Int. J. Theor. Phys. 45, 1171–1190 (2006)

    Article  MATH  Google Scholar 

  4. Saglam, M., Boyacioglu, B., Saglam, Z., Yilmaz, O., Wan, K.K.: Spin-dependent quantized magnetic flux through the electronic orbits of Dirac hydrogen atom. arXiv:physics/0608165v1 (2006)

  5. London, F.: Superfluids, vol. I, p. 152. Wiley, New York (1950)

    MATH  Google Scholar 

  6. Onsager, L.: In: Proceedings of the International Conference on Theoretical Physics, Kyoto & Tokyo, September 1953, p. 935. Science Council of Japan, Tokyo (1954)

    Google Scholar 

  7. Doll, R., Näbauer, M.: Experimental proof of magnetic flux quantization in a superconducting ring. Phys. Rev. Lett. 7, 51–52 (1961)

    Article  ADS  Google Scholar 

  8. Deaver, B.S., Fairbank, W.M.: Experimental evidence for quantized flux in superconducting cylinders. Phys. Rev. Lett. 7, 43–46 (1961)

    Article  ADS  Google Scholar 

  9. Saglam, M., Boyacioglu, B.: Calculation of the flux associated with the electron’s spin on the basis of the magnetic top model. Int. J. Mod. Phys. B 16, 607–614 (2002)

    Article  ADS  Google Scholar 

  10. Karshenboim, S.G.: Precision physics of simple atoms: QED tests, nuclear structure and fundamental constants. Phys. Rep. 422, 1–63 (2005)

    Article  ADS  Google Scholar 

  11. Series, G.W.: The Spectrum of Atomic Hydrogen: Advances. World Scientific, Singapore (1988)

    Google Scholar 

  12. Granovskii, Y.I.: Sommerfeld formula and Dirac’s theory. Phys.-Usp. 47, 523–524 (2004)

    Article  ADS  Google Scholar 

  13. Mohr, P.J., Taylor, B.N., Newell, D.B.: CODATA recommended values of the fundamental physical constants: 2006. Rev. Mod. Phys. 80, 633–730 (2008)

    Article  ADS  Google Scholar 

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Correspondence to W.-D. R. Stein.

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Stein, WD.R. Quantization of Magnetic Flux Through the Orbits of the Hydrogen Atom. Int J Theor Phys 51, 1698–1703 (2012). https://doi.org/10.1007/s10773-011-1047-9

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  • DOI: https://doi.org/10.1007/s10773-011-1047-9

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