From: roland.franzius@uos.de   
      
   Am 11.03.2017 um 03:25 schrieb Nicolaas Vroom:   
   > IMO the problem is in the uncertainty principle.   
   > The Bohr model is in some sense a mathematical model of an atom.   
   > This model allows you to calculate the emission and absorption energies   
   > of photons, validated by experiments.   
      
   No. The Bohr model is a nice example for a theory that accidentally   
   gives the right numbers from an abstruse model.   
      
   The idea of a Bohr orbit with integer wave number on a circle makes   
   the energy dependent on circular orbits confined to a greatest   
   circle.  Classically the circilar Kepler orbits are the states of   
   minimal energy at fixed angular momentum, which is universally a   
   conserved quantity and quantized in the integers in wave states by   
   the wave number on circles of latitude.   
      
   Only the accidental Kepler degeneration of states with respect to   
   the angular momentum at fixed energy, special to the 1/r and r^2   
   potentials relates the L-wave number at lowest energy to the   
   degenerate total energy quantum number.   
      
   The correct quantum energy level scaling by the Bohr radius r/rB   
   is not more than another mathematical accident reavealing a greater   
   symmetry group than the evident rotation group.   
      
   There is no chance to fit a bunch of waves of the same wavelength   
   onto any of the set of Kepler ellipses allowed by constant quantized   
   energy and variing integer angular momentum.   
      
   Most puzzling fact is that the classical states with angular meomentum   
   L=3D0 at fixed energy are ellipses with small axis=3D0, rays with   
   the center at one end classically, while they are represented by   
   spherical symmetric constant charge distributions in quantum theory.   
      
   The tragedy of the Bohr model continues if one is trying to test   
   the Schr=F6dinger model for the Helium atom with four particles.   
      
   In the Helium atom there are no symmetries at all and no modelling   
   idea fits the exactly measurable spectral data in an acceptabe   
   precision until the day before yesterday.   
      
   The areas of atomic and nuclear states and molecular binding present   
   a completely unsolved or unrelated bunch of stories of n-particle   
   entanglement mechanisms.   
      
   The simulation exceeds any computer capacity conceivable even in   
   the times of the intelligent cloud.   
      
   A funny example of interaction of modelling and reality is the   
   financial market world.   
      
   It is not simulated on computers to model human action and the   
   statistical time evolution anymore.   
      
   The global market today is the bunch of algorithms running on   
   computers to make decisions and the set of statistical analysis   
   tools to produce decision controlling data sets in the microsecond   
   time scale.   
      
   --   
      
   Roland Franzius   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)