On an Algebraic generalization of the quantum mechanical formalism

@article{Jordan1934OnAA,
  title={On an Algebraic generalization of the quantum mechanical formalism},
  author={Pascual Jordan and John von Neumann and Eugene Paul Wigner},
  journal={Annals of Mathematics},
  year={1934},
  volume={35},
  pages={29-64}
}
One of us has shown that the statistical properties of the measurements of a quantum mechanical system assume their simplest form when expressed in terms of a certain hypercomplex algebra which is commutative but not associative.1 This algebra differs from the non-commutative but associative matrix algebra usually considered in that one is concerned with the commutative expression ½(A × B + B × A) instead of the associative product A × B of two matrices. It was conjectured that the laws of this… 

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