# The Weyl-Wigner-Moyal formalism for spin

@article{Li2013TheWF, title={The Weyl-Wigner-Moyal formalism for spin}, author={Feifei Li and Carol Braun and Anupam Garg}, journal={EPL}, year={2013}, volume={102}, pages={60006} }

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

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#### References

SHOWING 1-9 OF 9 REFERENCES

Phys

- Rev. A 61, 034101
- 2000

Annals of Phys

- (NY) 190, 101
- 1989

Phys

- Rev. A 24, 2889
- 1981

Phys

- Rev. A 24, 2889
- 1981

Sov

- Phys. JETP 31, 1012
- 1956

Proc

- Cambridge Philos. Soc. 45, 99
- 1949

Proc

- Cambridge Philos. Soc. 45, 99
- 1949

Phys

- Rev. 40, 749
- 1932