Electrodynamics of the Electron Orbital Motion in the Hydrogen Atom Considered in Reference to the Microstructure of the Electron Particle and Its Spin

Author(s)
Stanislaw Olszewski

ABSTRACT

Electrodynamics of the one-electron currents due to the circular orbital motion of the electron particle in the hydrogen atom has been examined. The motion is assumed to be induced by the time change of the magnetic field in the atom. A characteristic point is that the electric resistance calculated for the motion is independent of the orbit index and its size is similar to that obtained earlier experimentally for the planar free-electron-like structures considered in the integer quantum Hall effect. Other current parameters like conductivity and the relaxation time behave in a way similar to that being typical for metals. A special attention was attached to the relations between the current intensity and magnetic field. A correct reproduction of this field with the aid of the Biot-Savart law became possible when the geometrical microstructure of the electron particle has been explicitly taken into account. But the same microstructure properties do influence also the current velocity. In fact the current suitable for the Biot-Savart law should have a speed characteristic for a spinning electron particle and not that of a spinless electron circulating along the orbit of the original Bohr model.

Electrodynamics of the one-electron currents due to the circular orbital motion of the electron particle in the hydrogen atom has been examined. The motion is assumed to be induced by the time change of the magnetic field in the atom. A characteristic point is that the electric resistance calculated for the motion is independent of the orbit index and its size is similar to that obtained earlier experimentally for the planar free-electron-like structures considered in the integer quantum Hall effect. Other current parameters like conductivity and the relaxation time behave in a way similar to that being typical for metals. A special attention was attached to the relations between the current intensity and magnetic field. A correct reproduction of this field with the aid of the Biot-Savart law became possible when the geometrical microstructure of the electron particle has been explicitly taken into account. But the same microstructure properties do influence also the current velocity. In fact the current suitable for the Biot-Savart law should have a speed characteristic for a spinning electron particle and not that of a spinless electron circulating along the orbit of the original Bohr model.

KEYWORDS

one-electron orbital current in the hydrogen atom, electron microstructure., electrodynamical properties without and with the electron spin

one-electron orbital current in the hydrogen atom, electron microstructure., electrodynamical properties without and with the electron spin

Cite this paper

Olszewski, S. (2015) Electrodynamics of the Electron Orbital Motion in the Hydrogen Atom Considered in Reference to the Microstructure of the Electron Particle and Its Spin.*Journal of Modern Physics*, **6**, 2202-2210. doi: 10.4236/jmp.2015.615224.

Olszewski, S. (2015) Electrodynamics of the Electron Orbital Motion in the Hydrogen Atom Considered in Reference to the Microstructure of the Electron Particle and Its Spin.

References

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[2] Slater, J.C. (1960) Quantum Theory of the Atomic Structure. Vol. 1. McGraw-Hill, New York.

[3] Kittel, C. (1987) Quantum Theory of Solids. 2nd Edition, Wiley, New York.

[4] Cyrot, M. and Pavuna, D. (1992) Introduction to Superconductivity and High Tc Materials. World Scientific, Singapore.

http://dx.doi.org/10.1142/1039

[5] Olszewski, S. Quantum Matter. (In Press).

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[8] Landau, L.D. and Lifshitz, E.M. (1969) Mechanics. Electrodynamics. Izd. Nauka, Moscow. (In Russian)

[9] Olszewski, S. (2015) Journal of Modern Physics, 6, 1277-1288.

http://dx.doi.org/10.4236/jmp.2015.69133

[10] MacDonald, A.H., Ed. (1989) Quantum Hall Effect: A Perspective. Kluwer, Milano.

http://dx.doi.org/10.1007/978-94-010-9709-3

[11] Ziman, J.M. (1972) Principles of the Theory of Solids. 2nd Edition, University Press, Cambridge.

http://dx.doi.org/10.1017/CBO9781139644075

[12] Lass, H. (1960) Vector and Tensor Analysis. McGraw-Hill, New York.

[13] Olszewski, S. (2014) Journal of Modern Physics, 5, 2022-2029.

http://dx.doi.org/10.4236/jmp.2014.518198

[14] Olszewski, S. (2014) Journal of Modern Physics, 5, 2030-2040.

http://dx.doi.org/10.4236/jmp.2014.518199

[1] Sommerfeld, A. (1931) Atombau und Spektrallinien. Vol. 1. 5th Edition, Vieweg, Braunschweig,

[2] Slater, J.C. (1960) Quantum Theory of the Atomic Structure. Vol. 1. McGraw-Hill, New York.

[3] Kittel, C. (1987) Quantum Theory of Solids. 2nd Edition, Wiley, New York.

[4] Cyrot, M. and Pavuna, D. (1992) Introduction to Superconductivity and High Tc Materials. World Scientific, Singapore.

http://dx.doi.org/10.1142/1039

[5] Olszewski, S. Quantum Matter. (In Press).

[6] Olszewski, S. Reviews in Theoretical Science. (In Press)

[7] Matveev, A.N. (1964) Electrodynamics and the Theory of Relativity. Izd. Wyzszaja Szkola, Moscow. (In Russian)

[8] Landau, L.D. and Lifshitz, E.M. (1969) Mechanics. Electrodynamics. Izd. Nauka, Moscow. (In Russian)

[9] Olszewski, S. (2015) Journal of Modern Physics, 6, 1277-1288.

http://dx.doi.org/10.4236/jmp.2015.69133

[10] MacDonald, A.H., Ed. (1989) Quantum Hall Effect: A Perspective. Kluwer, Milano.

http://dx.doi.org/10.1007/978-94-010-9709-3

[11] Ziman, J.M. (1972) Principles of the Theory of Solids. 2nd Edition, University Press, Cambridge.

http://dx.doi.org/10.1017/CBO9781139644075

[12] Lass, H. (1960) Vector and Tensor Analysis. McGraw-Hill, New York.

[13] Olszewski, S. (2014) Journal of Modern Physics, 5, 2022-2029.

http://dx.doi.org/10.4236/jmp.2014.518198

[14] Olszewski, S. (2014) Journal of Modern Physics, 5, 2030-2040.

http://dx.doi.org/10.4236/jmp.2014.518199