Missing experiments in quantum mechanics

TL;DR

This paper discusses the missing experiments in quantum mechanics involving electron trajectories in magnetic fields, highlighting the need for empirical tests like the two-slit and Aharonov-Bohm experiments with magnetic fields.

Contribution

It proposes the concept of missing experiments in quantum mechanics and explores potential experimental setups and theoretical models to address these gaps.

Findings

Electron trajectories can be visualized via synchrotron radiation.

The two-slit and AB experiments in magnetic fields have not been performed.

Hydrodynamical and nonlinear quantum models are discussed as possible frameworks.

Abstract

We discuss the two-slit experiment and the Aharonov-Bohm (AB) experiment in the magnetic field. In such a case the electron moving in the magnetic field produces so called synchrotron radiation. In other words the photons are emitted from the points of the electron trajectory and it means that the trajectory of electron is visible in the synchrotron radiation spectrum. The axiomatic system of quantum mechanics does not enable to define the trajectory of the elementary particle. The two-slit experiment and AB experiment in a magnetic field was never performed and it means that they are the missing experiments of quantum mechanics. The extension of the discussion to the cosmical rays moving in the magnetic field of the Saturn magnetosphere and its rings is mentioned. It is related to the probe CASSINI. The solution of the problem in the framework of the hydrodynamical model of quantum mechanics and the nonlinear quantum mechanics is also mentioned.