Generalized quantum mechanics

  title={Generalized quantum mechanics},
  author={Bogdan Mielnik},
  journal={Communications in Mathematical Physics},
  • B. Mielnik
  • Published 1 September 1974
  • Physics
  • Communications in Mathematical Physics
A convex scheme of quantum theory is outlined where the states are not necessarily the density matrices in a Hilbert space. The physical interpretation of the scheme is given in terms of generalized “impossibility principles”. The geometry of the convex set of all pure and mixed states (called a statistical figure) is conditioned by the dynamics of the system. This provides a method of constructing the statistical figures for non-linear variants of quantum mechanics where the superposition… 

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  • G. Niestegge
  • Mathematics
    Proceedings of the Royal Society A
  • 2022
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