Quantum Analytical Mechanics

The question of whether the Schrödinger equation has to be considered the complete description
of (non-relativistic) quantum phenomena or not, has occupied the physics community since the
famous controversy between Einstein and Bohr at the 1927 Solvay conference. The famous
measurement problem of quantum mechanics and its diverse suggested resolutions are part of
this history. Based on Nelson's derivation of the Schrödinger equation from the Newtonian dynamics of a
time-inversion invariant diffusion process in 1966, by now a complete theory of quantum
analytical mechanics has been developed. I will present its structure and discuss applications to
the tunneling phenomenon, the dynamic stability of the hydrogen atom in the ground state and
the violation of Bell's inequalities in the Einstein-Podolski-Rosen-Bohm thought experiment.

Poster (pdf)