The Weyl-Wigner-Moyal formalism for spin

  title={The Weyl-Wigner-Moyal formalism for spin},
  author={Feifei Li and Carol Braun and Anupam Garg},
The Weyl-Wigner-Moyal formalism is developed for spin by means of a correspondence between spherical harmonics and spherical-harmonic tensor operators. The exact asymptotic relation among the P, Q, and Weyl symbols is found, and the analogue of the Moyal expansion is developed for the Weyl symbol of the product of two operators in terms of the symbols for the individual operators. It is shown that in the classical limit, the Weyl symbol for a commutator equals i times the Poisson bracket of the… Expand
Wigner functions in the Higher-Spin
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It is shown that the semiclassical coherent state propagator takes its simplest form when the quantum mechanical Hamiltonian is replaced by its Weyl symbol in defining the classical action, in thatExpand
Wigner functions in the Higher-Spin Einstein-Podolsky-Rosen-Bohm Experiment
The spin-$j$ extension of Bohm's version of the Einstein-Podolsky-Rosen experiment is is analysed in terms of the Wigner function when the two spins are in a singlet state. This function isExpand
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Michael A. Perlin,1, 2, ∗ Diego Barberena,1, 2 Mikhail Mamaev,1, 2 Bhuvanesh Sundar,1, 2 Robert J. Lewis-Swan,3, 4 and Ana Maria Rey1, 2 JILA, National Institute of Standards and Technology andExpand
Spin qudit tomography
We consider the task of performing quantum state tomography on a $d$-state spin qudit, using only measurements of spin projection onto different quantization axes. By an exact mapping onto theExpand
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