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We consider the problem of the driven harmonic oscillator in the probabilityrepresentation of quantum mechanics, where the oscillator states are describedby fair nonnegative probability distributions of position measured in rotatedand squeezed reference frames in the system's phase space. For some specificoscillator states like coherent states and nth excited states, thetomographic-probability distributions (called the state tomograms) are found inan explicit form. The evolution equation for the tomograms is discussed for theclassical and quantum driven oscillators, and the tomographic propagator forthis equation is studied.

The Driven-Oscillator Evolution in the Tomografic-Probability Representation