Toroidal configuration of the orbit of the electron of the hydrogen ...

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AcknowledgementsThe author is much grateful to R.M. Santilli for discussions and support.Additional thanks are due to M.I. Mazhitov, Karaganda State University,for stimulating discussions.33
Appendix2000201500151F11000U10500500 2 4 6 8 10x, n=000 2 4 6 8 10x, n=01F160050040030020010000 2 4 6 8 10x, n=1/4U201510500 2 4 6 8 10x, n=1/41F140030020010000 2 4 6 8 10x, n=1/2U17.51512.5107.552.500 2 4 6 8 10x, n=1/221.521.51F11U10.50.500 2 4 6 8 10x, n=100 2 4 6 8 10x, n=1Figure 18: The confluent hypergeometric functions 1 F 1 (1−n, 2, x) and U(1−n, 2, x) for various n.34
Page 1 and 2: Toroidal configuration of the orbit
Page 3 and 4: problem of atoms and molecules expo
Page 5 and 6: formally compare the Bohr radius of
Page 7 and 8: Q n−ss is Laguerre polynomial, L
Page 9 and 10: 0.60.50.4Landau0.30.20.100 1 2 3 4
Page 11 and 12: case when the pure Coulomb interact
Page 13 and 14: Gauss), and the energy spectrum in
Page 15 and 16: In atomic units (e = ¯h = m = 1),
Page 17 and 18: One can see that the problem is in
Page 19 and 20: yxzFigure 6: Schematic view on the
Page 21 and 22: where x 0 > 0 (we remind that x = 2
Page 23 and 24: zyxFigure 8: Schematic view of the
Page 25 and 26: Transverse size L, a.u.0.10.090.080
Page 27 and 28: functions made by Heyl and Hernquis
Page 29 and 30: Magnetic field B(Gauss)Binding ener
Page 31 and 32: Figure 16: Contour plots of the (r,
Page 33: Figure 17: The ground and first-exc
Page 37 and 38: References[1] A.A. Sokolov, I.M. Te
Page 39: M.V. Ivanov and P. Schmelcher, Grou

Toroidal configuration of the orbit of the electron of the hydrogen ...

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