Abstract
Tomographic probabilities for both discrete spin variables and continuous quadratures are considered within the framework of the star-product quantization.
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S. L. Stratonovich, Zh. Éksp. Teor. Fiz, 31, 1012 (1956) [Sov. Phys.-JETP, 4, 891 (1956)].
F. Bayen, M. Flato, C. Fronsdal, et al., Lett. Math. Phys., 1, 521 (1975).
I. A. Batalin and I. V. Tutin, J. Math. Phys, 34, 369 (1993).
I. V. Tyutin, Teor. Mat. Fiz., 127, 253 (2001).
M. A. Vasiliev, Fortschr. Phys., 36, 33 (1988).
E. Wigner, Phys. Rev., 40, 749 (1932).
O. V. Man’ko, V. I. Man’ko, and G. Marmo, Phys. Scripta, 62, 446 (2000).
O. V. Man’ko, V. I. Man’ko, and G. Marmo, J. Phys. A: Math. Gen., 35, 699 (2002).
S. Mancini, V. I. Man’ko, and P. Tombesi, Phys. Lett. A, 213, 1 (1996).
V. V. Dodonov and V. I. Man’ko, Phys. Lett. A, 229, 335 (1997).
V. I. Man’ko and O. V. Man’ko, Zh. Éksp. Teor. Fiz, 112, 796 (1997) [J. Exp. Theor. Phys., 85, 430 (1997)].
O. V. Man’ko, in: B. Gruber and M. Ramek (eds.), Proceedings of International Conference “ Symmetries in Science X” (Bregenz, Austria, 1997), Plenum Press, New York (1998), p. 207.
J. Bertrand and P. Bertrand, Found. Phys., 17, 397 (1989).
K. Vogel and H. Risken, Phys. Rev. A, 40, 2847 (1989).
D. T. Smithey, M. Beck, M. G. Raymer, and A. Faridani, Phys. Rev. Lett., 70, 1244 (1993).
J. E. Moyal, Proc. Cambridge Philos. Soc., 45, 99 (1949).
S. Mancini, O. V. Man’ko, V. I. Man’ko, and P. Tombesi, J. Phys. A: Math. Gen., 34, 3461 (2001).
V. A. Andreev, V. I. Man’ko, O. V. Man’ko, and E V Schukin, Teor. Mat. Fiz., 146, 172 (2006) [Theor. Math. Phys., 146, 140 (2006)].
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Dedicated to the memory of Professor Vladimir Alekseevich Isakov and Professor Alexander Stanislavovich Shumovsky.
Based on the talk presented at the Tenth International Conference on Squeezed States and Uncertainty Relations (Bradford, UK, 31 March–4 April 2007).
Manuscript submitted by the author in English on August 18, 2007.
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Man’ko, O.V. Star-product; symplectic and spin tomographies. J Russ Laser Res 28, 483–488 (2007). https://doi.org/10.1007/s10946-007-0035-2
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DOI: https://doi.org/10.1007/s10946-007-0035-2