V.6 No 1
|On excited state of orbital electron|
We have studied the linear model of interaction of orbital electron with the external electric dynamic field and showed, this process has a resonance pattern with which the Kepler laws for non-excited stationary orbits become invalid. This is caused by the natural frequency of orbital electron matching with the external field frequency.
Because of excitation, the orbit remains circular only when equal frequencies. But the size of excited orbit is non-quantified, it grows with the growing external field amplitude and retains the periods of electrons non-excited motion matched with the period of external field.
When unequal frequencies, the resonance also takes place, but the intensity of resonance lines abruptly falls with growing ratio between the electrons natural frequency and the frequency of external field. With it, the pattern of electrons excited trajectory also basically changes. When this second exceeded the first, at small amplitude of external field the trajectory deviates from that of non-excited electron. With growing amplitude, there arise the return loops that do not touch the nucleus. The number of loops is by one less than the ratio of frequencies. When non-integer ratio of frequencies, the number of loops is equal to the integer part of the ratio.
In case of natural frequency exceeding the frequency of external field, the loops do not arise and the number of electrons turns around the nucleus per one period strongly corresponds to the multiplicity of frequencies. In this case the resonances also exist, with non-integer ratio of frequencies.
The considered model is applicable to study the interaction of astronomic objects with macro-fields. When applying the model, we have to account that, first, we have to describe the interaction of some negatively charged rim and, second, at macro-conditions the positively charged stellar nucleus can serve as the source of field. In this case the region of excitation will be limited by the near region of the shell. Besides, the presence of dynamic field of the star is always caused by non-stationary processes that caused the excitation of stellar nucleus.
1. Karavashkin, S.B. and Karavashkina, O.N. On physical nature of postulate of existence of stable stationary states of oscillators. SELF Transactions, 4 (2004), 1, 39- 73
2. Pohl, R.W. Optics and atomic physics. Nauka, Moscow, 1966 (Russian)
3. Bohr, N. Atomic theory and mechanics. - In: Selected scientific works, v. 2, p. 7- 24. Nauka, Moscow, 1971 (Russian)
4. Koshkin, N.I. and Shirkevich, M.G. Handbook on elementary physics. Nauka, Moscow, 1975 (Russian)
5. Bohr, N. Atomic theory and principles to describe the nature. - In: Selected scientific works, v. 2, p. 62- 71. Nauka, Moscow, 1971 (Russian)
6. Pain, H.J. The physics of vibrations and waves. Mir, Moscow, 1979 (Cited after Russian edition: Pain, H.J. The physics of vibrations and waves. John Wiley and sons, London - New York - Sydney - Toronto, 1976)
7. Sokolov, A.A. and Ternov, N.M. Quantum mechanics and atomic physics. Moscow, Prosveschenie, 1970 (Russian)
8. Fermi, E. Notes on quantum mechanics. Mir, Moscow, 1968. The University of Chicago Press (Cited after Russian edition: Fermi, E. Notes on quantum mechanics. The University of Chicago Press)
9. Shpolsky, A.V. Atom physics. Vol. 1. Introduction to the atom physics. Physmathgiz, Moscow, 1963 (Russian)
10. Mandelschtam, L.I. Lectures on the basis of quantum mechanics. - In: Lectures on optics, theory of relativity and quantum mechanics, p. 325- 388. Nauka, Moscow, 1972 (Russian)
11. Listengarten, M.A. and Sleeve, L.A. Compton phenomenon. - In: Physical encyclopaedia, vol. 2, p. 431. Sovetskaya encyclopedia, Moscow, 1962
12. Bohr, N. On the structure of atoms and molecules. - In: Selected scientific works, v. 2, p. 84- 148. Nauka, Moscow, 1971 (Russian)
13. Volkenschtein, M.V., Elyashevich, M.A. and Stepanov, B.I. Oscillation of molecules, vol. 1. GITTL, Moscow - Leningrad, 1949 (Russian)
14. Pustovalov, G.Ye. Atomic and nuclear physics. Moscow State University Press, Moscow, 1968 (Russian)
15. Targ, S.M. The brief course of theoretical mechanics. Nauka, Moscow, 1970 (Russian)
16. Karavashkin, S.B. and Karavashkina, O.N. Investigation of elastic constraint non-linearity. IJMEE, 33 (2005), 2, 116- 133.
17. Karavashkina, O.N. and Karavashkin, S.B. Some aspects of the earth evolution. Chapter 2. Hypothesis of origin of planetary system (part 1). SELF Transactions, 3 (2003), 1, 55- 71
Contents: / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 12 / 13 / 14 / 15 /