RT Journal Article T1 Phase-space distributions and the classical component of quantum observables A1 Luis Aina, Alfredo AB We analyze the relation between the classical part of quantum observables and the distributions representing quantum states and observables on the classical phase space. We determine in which conditions such a relation can be established, and the proper phase-space distribution required for this purpose. PB American Physical Society SN 1050-2947 YR 2003 FD 2003-06-20 LK https://hdl.handle.net/20.500.14352/51520 UL https://hdl.handle.net/20.500.14352/51520 LA eng NO [1] C.T. Lee, Phys. Rev. A 44, R2775 (1991); N. Lütkenhaus and S.M. Barnett, ibid. 51, 3340 (1995); C.T. Lee, ibid. 52, 3374 (1995); A.F. de Lima and B. Baseia, ibid. 54, 4589 (1996); J. Janszky, M.G. Kim, and M.S. Kim, ibid. 53, 502 (1996).[2] M.J.W. Hall, Phys. Rev. A 64, 052103 (2001).[3] M.J.W. Hall, e-print quant-ph/0103072; e-print quant-ph/0107149.[4] M.J.W. Hall and M. Reginatto, J. Phys. A 35, 3289 (2002); e-print quant-ph/0201084.[5] N.C. Dias and J.N. Prata, Phys. Lett. A 291, 355 (2001).[6] G.S. Agarwal and E. Wolf, Phys. Lett. A 26, 485 (1968); Phys. Rev. Lett. 21, 180 (1968); G.S. Agarwal, Phys. Rev. 177, 400 (1969); K.E. Cahill and R.J. Glauber, ibid. 177, 1857 (1969); 177, 1882 (1969); G.S. Agarwal and E. Wolf, Phys. Rev. D 2, 2161 (1970); 2, 2187 (1970); 2, 2206 (1970); J. Peřina, Coherence of Light (Reidel, Dordrecht, 1985); L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).[7] L. Cohen, J. Math. Phys. 7, 781 (1966).[8] N.C. Dias and J.N. Prata, Phys. Lett. A 302, 261 (2002).[9] H. Margenau and R.N. Hill, Prog. Theor. Phys. 26, 722 (1961).[10] C.H. Page, J. Appl. Phys. 23, 103 (1952); R. Gase, T. Gase, and K. Blüthner, Opt. Lett. 20, 2045 (1995).[11] C.L. Mehta, J. Math. Phys. 5, 677 (1964).[12] M. Hillery, R.F. O’Connell, M.O. Scully, and E.P. Wigner, Phys. Rep. 106, 121 (1984). NO ©2003 The American Physical Society. DS Docta Complutense RD 2 may 2024