Abstract
Bogoliubov transforms are discussed in some problems of quantum optics. Squeezed and rotated quadrature of an ion in a Paul trap is discussed in connection with reconstructing its quantum state using symplectic-tomography method. Symplectic and photon-number tomograms of the quadrature for squeezed and correlated states, for nonlinear coherent states and for odd/even coherent states of a trapped ion which are tomographic symbols of density operators of the states are reviewed.
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