Posted: May 26, 2015  
A new formulation of quantum mechanics 

(Nanowerk News) Quantum mechanics remains one of the most tested theory in the history of physics and yet it represents one of the most challenging theory human kind has come up with. While the Schrödinger formulation is the defacto standard, describing systems in terms of wavefunctions, it is certainly not the only approach possible. Other formalisms are possible too.  
For example the path integral method, suggested by R. Feynman, is one possibility to describe systems in terms of classical particles.  
Another method is the one suggested by E. Wigner where systems are described in terms of (quasi)distribution functions, therefore allowing quantum mechanics in the phasespace.  
Recently, a new formulation of quantum mechanics has been developed, called the "Signed particle formulation". This novel theory has been suggested by Dr. J.M. Sellier, an Associate Professor at the Bulgarian Academy of Sciences.  
This new approach to quantum systems is based on classical particles which interact with external potentials by means of creation and annihilation of signed particles only. This novel theory is based on rewriting the timedependent Wigner equation and on giving a physical interpretation to the various mathematical terms obtained.  
In particular the sign of a particle, perhaps the most puzzling new introduced feature, has a physical interpretation based on observations in the context of quantum tomography.  
This new theory provides several advantages:  


A preprint of the paper, which was accepted a few days ago on the Journal of Computational Physics is available online: "A Signed Particle Formulation of NonRelativistic Quantum Mechanics" (pdf). 
Source: Bulgarian Academy of Sciences  
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