Göttingen 2025 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 1: Quantum Mechanics

MP 1.4: Talk

Monday, March 31, 2025, 17:45–18:05, ZHG001

Quantum Analytical Mechanics: What is it and what is it good for? — •Wolfgang Paul — Institut für Physik, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle

The question whether the Schrödinger equation has to be considered the complete description of (non-relativistic) quantum phenomena or not, has occupied a part of the physics community since the famous controversy between Einstein and Bohr at the 1927 Solvay conference. 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.

M. Beyer, W. Paul, Foundations of Physics 54, 20 (2024).

Keywords: stochastic mechanics; measurement problem; entangled states; hidden variables; Bell inequalities