Multiplication law in quantum physics. I. The non-relativistic quantum mechanics

Valter Moretti

Jürg Martin Fröhlich, Zhou Gang, Alessandro Pizzo

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.

R. Eugene Collins

Valter Moretti

Luis Grave de Peralta, Maricela Fernández Lozada, Hira Farooq +3 more

Jonathan Tennyson

In 1929 Paul Dirac pronounced that "the underlying physical laws necessary for the mathematical theory for a large part of physics and the whole of chemistry are...completely known". While the fundamental aspects of non-relativistic quantum mechanics have remained essentially unchanged ever since, physics and chemistry have been driven largely by experiment. Dirac had the answer to that too. To his comment he added a rider: "The difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble."