Algebraically Self-Consistent Quasiclassical Approximation on Phase Space

@article{Poirier2000AlgebraicallySQ,
  title={Algebraically Self-Consistent Quasiclassical Approximation on Phase Space},
  author={Bill Poirier},
  journal={Foundations of Physics},
  year={2000},
  volume={30},
  pages={1191-1226}
}
The Wigner–Weyl mapping of quantum operators to classical phase space functions preserves the algebra, when operator multiplication is mapped to the binary “*” operation. However, this isomorphism is destroyed under the quasiclassical substitution of * with conventional multiplication; consequently, an approximate mapping is required if algebraic relations are to be preserved. Such a mapping is uniquely determined by the fundamental relations of quantum mechanics, as is shown in this paper. The… CONTINUE READING