A second question of group theory, to which we can apply the
operational calculus, is raised by the Heisenberg permutation
relations connecting the self-adjoint transformations Pk, Qk, k =
1; : : : ; n. For convenience, we write these relations in the form
PkQl QlPk = i klI; PkPl PlPk = 0;
QkQl QlQk = 0; k; l = 1; : : : ; n:
In quantum mechanics, these transformations refer essentially
to the coordinates and momenta of a dynamical system of n
degrees of freedom.
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A Selective History of the Stone-von Neumann Theorem
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