@article{1440465,
      recid = {1440465},
      author = {Helland, Inge S.,},
      title = {Epistemic processes : a basis for statistics and quantum  theory /},
      pages = {1 online resource (xviii, 245 pages) :},
      abstract = {This book discusses a link between statistical theory and  quantum theory based on the concept of epistemic processes.  The latter are processes, such as statistical  investigations or quantum mechanical measurements, that can  be used to obtain knowledge about something. Various topics  in quantum theory are addressed, including the construction  of a Hilbert space from reasonable assumptions and an  interpretation of quantum states. Separate derivations of  the Born formula and the one-dimensional Schrödinger  equation are given. In concrete terms, a Hilbert space can  be constructed under some technical assumptions associated  with situations where there are two conceptual variables  that can be seen as maximally accessible. Then to every  accessible conceptual variable there corresponds an  operator on this Hilbert space, and if the variables take a  finite number of values, the eigenspaces/eigenvectors of  these operators correspond to specific questions in nature  together with sharp answers to these questions. This paves  a new way to the foundations of quantum theory. The  resulting interpretation of quantum mechanics is related to  Hervé Zwirn's recent Convivial Solipsism, but it also has  some relations to Quantum Bayesianism and to Rovelli's  relational quantum mechanics. Niels Bohr's concept of  complementarity plays an important role. Philosophical  implications of this approach to quantum theory are  discussed, including consequences for macroscopic settings.  The book will benefit a broad readership, including  physicists and statisticians interested in the foundations  of their disciplines, philosophers of science and graduate  students, and anyone with a reasonably good background in  mathematics and an open mind.},
      url = {http://library.usi.edu/record/1440465},
      doi = {https://doi.org/10.1007/978-3-030-81923-1},
}