V I Man'ko et al 2003 J. Phys. A: Math. Gen. 36 255 doi:10.1088/0305-4470/36/1/317
V I Man'ko1,2, L Rosa2 and P Vitale3
Show affiliationsWe study the symmetry properties under permutation of tomograms describing the states of a system of identical particles in the probability representation. Starting from the action of the permutation group on the density matrix, we define its action on the tomographic probability distribution. Explicit calculations are performed for the two-dimensional harmonic oscillator.
03.65.Wj State reconstruction, quantum tomography
60B15 Probability measures on groups, Fourier transforms, factorization
81Sxx General quantum mechanics and problems of quantization
Quantum gases, liquids and solids
Issue 1 (10 January 2003)
Received 25 July 2002, in final form 21 October 2002
Published 10 December 2002
V I Man'ko et al 2003 J. Phys. A: Math. Gen. 36 255
Andreas Wittmann et al 2004 J. Phys.: Condens. Matter 16 S5645
R Jones et al 1994 Semicond. Sci. Technol. 9 2145
C P Ewels et al 1996 Semicond. Sci. Technol. 11 502
Adam Gali et al 1996 J. Phys.: Condens. Matter 8 7711
S B Cavalcanti 2002 New J. Phys. 4 19
O Sipr and A Simunek 2001 J. Phys.: Condens. Matter 13 8519
O Sipr 2001 J. Phys.: Condens. Matter 13 4291
A. A. Abdo et al. 2008 ApJ 688 1078
Amaya Moro-Martín et al. 2007 ApJ 658 1312