Electron Trajectories from One Bohr-Sommerfeld Orbit to Another One

International Journal of Applied Physics

© 2021 by SSRG - IJAP Journal

Volume 8 Issue 3

Year of Publication : 2021

Authors : Vasil Angelov

10.14445/23500301/IJAP-V8I3P101

How to Cite?

Vasil Angelov, "Electron Trajectories from One Bohr-Sommerfeld Orbit to Another One," SSRG International Journal of Applied Physics, vol. 8,  no. 3, pp. 1-13, 2021. Crossref, https://doi.org/10.14445/23500301/IJAP-V8I3P101

Abstract:

In previous papers we have studied 3D two-body problem of classical electrodynamics based on the extended Synge’s model (with a new form of the Dirac radiation term) and proved an existence-uniqueness of a periodic orbit . Later we have investigated the Kepler problem for of two charched particles using polar coordinates ̶in the plain of motion. In this way we have showed an existence of the Bohr-Sommerfeld stationary states. Here we show an existence of orbits of transition of the moving particle (electron) from one stationaty state to another one. This is made by a suitable choice of function space and applying the fixed ponit method.

Keywords:

Bohr-Sommerfeld stationary state, fixed point method, Kepler problem, operator method for transition orbits, two-body problem of classical electro-dynamics.

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