  The systems with multimode nonstationary Hamiltonians quadratic in position
and momentum operators are reviewed. The tomographic probability distributions
(tomograms) for the Fock states and Gaussian states of the quadratic systems
are discussed. The tomograms for the Fock states are expressed in terms of
multivariable Hermite polynomials. Using the obvious physical relations some
new formulas for multivariable Hermite polynomials are found. Examples of
oscillator and charge moving in electromagnetic field are presented.
