Admissible states in quantum phase space

  title={Admissible states in quantum phase space},
  author={Nuno Costa Dias and Jo{\~a}o N. G. N. Prata},
We address the question of which phase space functionals might represent a quantum state. We derive necessary and sufficient conditions for both pure and mixed phase space quantum states. From the pure state quantum condition we obtain a formula for the momentum correlations of arbitrary order and derive explicit expressions for the wavefunctions in terms of time dependent and independent Wigner functions. We show that the pure state quantum condition is preserved by the Moyal (but not by the… CONTINUE READING


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