D. L. Nascimento, A. L. A. Fonseca, “A new Approach Using the Relativistic Hamilton-Jacobi Equation to Evaluate the Correct Energy Levels of the Hydrogen Atom,” International Journal of Quantum Chemistry, Vol. 106, No. 2006, pp. 2779-2789.

has been cited by the following article:

• 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.