Abstract
It is shown that there exists a one-to-one correspondence between the direct and inverseWeyl transform approach, on the one side, and the (symplectic) tomographic representation of quantum mechanics, on the other side. In view of this correspondence, the star-product quantization based on characteristic functions is introduced.
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Amosov, G.G., Man’ko, V.I. Characteristic functions of states in star-product quantization. J Russ Laser Res 30, 435–442 (2009). https://doi.org/10.1007/s10946-009-9102-1
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DOI: https://doi.org/10.1007/s10946-009-9102-1