New uncertainty relations for tomographic entropy: Application to   squeezed states and solitons
  Using the tomographic probability distribution (symplectic tomogram) describing the quantum state (instead of the wave function or density matrix) and properties of recently introduced tomographic entropy associated with the probability distribution, the new uncertainty relation for the tomographic entropy is obtained. Examples of the entropic uncertainty relation for squeezed states and solitons of the Bose--Einstein condensate are considered. 
Sergio De Nicola, Renato Fedele, Margarita A. Man'ko, Vladimir I.   Man'ko