A Completion of Quantum Mechanics

TL;DR

This paper reviews a proposal to complete non-relativistic quantum mechanics by introducing a non-linear stochastic law for state evolution, aiming for a more coherent and physically meaningful theory.

Contribution

It presents a novel non-linear stochastic framework for quantum state evolution and applies it to atomic fluorescence, enhancing the theoretical foundation of quantum mechanics.

Findings

Proposes a non-linear stochastic law for quantum state dynamics

Applies the formalism to atomic fluorescence phenomena

Discusses implications for relativistic quantum theory

Abstract

A proposal of how to complete non-relativistic quantum mechanics to a physically meaningful, mathematically precise and logically coherent theory is reviewed. Our proposal leads to a general, non-linear stochastic law for the time-evolution of states of individual physical systems. An application of the general formalism to the quantum theory of fluorescence of an atom coupled to the radiation field is sketched. Some remarks on relativistic quantum theory conclude our review.