Canonical transforms, quantumness and probability representation of quantum mechanics
arXiv:1103.0193 · doi:10.1063/1.3537850
Abstract
The linear canonical transforms of position and momentum are used to construct the tomographic probability representation of quantum states where the fair probability distribution determines the quantum state instead of the wave function or density matrix. The example of Moshinsky shutter problem is considered.
Contribution to the Conference "Symmetries in Nature," Symposium in Memoriam of Marcos Moshinsky (Cuernavaca, Mexico, 7-14 August 2010), AIP Conference Proceedings, L. Benet, P.O. Hess, J.M. Torres and K.-B. Wolf (eds), Vol. 1323 (Melville, New York, 2010), pp. 215-220