Relations between scaling-transformed Husimi functions, Wigner functions and symplectic tomograms describing corresponding physical states

Husimi Q-functions are the only functions from the class of Cohen quasi-distributions on phase space that after scaling transformation (q, p) - GT (lambda q, lambda p) remain in the same class when the modulus of the scaling parameter is smaller than unity and so, in this case, describe a physical state. We found the Wigner functions and symplectic tomograms of such states. We applied the obtained general results to the Fock states of the harmonic oscillator.17th Central European Workshops on Quantum Optics, Jun 06-11, 2010, Univ St Andrews, St Andrews, Scotlan