On the 2-vector re-formulation of quantum mechanics

          @misc{ scivideos_PIRSA:09100096,
            doi = {10.48660/09100096},
            url = {https://pirsa.org/09100096},
            author = {Aharonov, Yakir},
            keywords = {Quantum Foundations},
            language = {en},
            title = {On the 2-vector re-formulation of quantum mechanics},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2009},
            month = {sep},
            note = {PIRSA:09100096 see, \url{https://scivideos.org/index.php/pirsa/09100096}}
          }
          

Abstract

I will discuss properties of pre- and post-selected ensembles in quantum mechanics. I will also discuss the proper way to observe these properties through the use of a new type of non-disturbing measurement which I call 'weak measurement'. A number of these new experiments have already been successfully performed and others are in the planning stage. These experiments have confirmed the unique property of pre- and post-selected ensembles that I call 'weak values.' Theoretical analysis of the outcomes of these experiments have produced several very rich results. First, it has shed new light on the most puzzling features of quantum mechanics, such as interference, entanglement, etc. Secondly, it has uncovered a host of new quantum phenomena, which were previously hidden."