TITLE:
Quantization and Stable Attractors in a DissipativeOrbital Motion
AUTHORS:
Daniel L. Nascimento, Antonio L. A. Fonseca
KEYWORDS:
Stable Attractors, Non-Linear Dynamics, Non-Conservative Orbital Systems, Lagrangean
Systems, Electron Capture in Hydrogen Atom
JOURNAL NAME:
Journal of Modern Physics,
Vol.2 No.4,
April
22,
2011
ABSTRACT: We present a method for determining the motion of an electron in a hydrogen atom, which starts from a field Lagrangean foundation for non-conservative systems that can exhibit chaotic behavior. As a consequence, the problem of the formation of the atom becomes the problem of finding the possible stable orbital attractors and the associated transition paths through which the electron mechanical energy varies continuously until a stable energy state is reached.