PIRSA:08090063

Wiggling Hilbert Space

Ududec, C. (2008). Wiggling Hilbert Space. Perimeter Institute. https://pirsa.org/08090063

Ududec, Cozmin. Wiggling Hilbert Space. Perimeter Institute, Sep. 23, 2008, https://pirsa.org/08090063 

          @misc{ pirsa_PIRSA:08090063,
            doi = {10.48660/08090063},
            url = {https://pirsa.org/08090063},
            author = {Ududec, Cozmin},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Wiggling Hilbert Space},
            publisher = {Perimeter Institute},
            year = {2008},
            month = {sep},
            note = {PIRSA:08090063 see, \url{https://pirsa.org}}
          }

Cozmin Ududec

Government of the United Kingdom

Talk number
PIRSA:08090063
Collection
Talk Type
Subject
Abstract
After using the complex Hilbert space formalism for quantum theory for so long, it is very easy to begin to take for granted features like projection operators and the projection postulate, the algebra of observables, symmetric transition probabilities, linear evolution, etc.... Over the past 50 years there have been many attempts to gain a better understanding of this formalism by reconstructing it from different kinds of (sometimes) physically motivated assumptions. By looking at how the above features are motivated and used in different reconstructions, it becomes clear just how special and restrictive many of them are. The question is then what a theory which does not have some of these features looks like. Another interesting question is whether there are any reasons to be suspicious of postulating them in reconstructions or when trying to generalize or apply the quantum formalism to untested situations.