Tomograms in the quantum-classical transition

The quantum-classical limits for quantum tomograms are studied and compared with the corresponding classical tomograms, using two different definitions for the limit. One is the Planck limit where ℏ→0 in all ℏ-dependent physical observables, and the other is the Ehrenfest limit where ℏ→0 while keeping constant the mean value of the energy. The Ehrenfest limit of eigenstate tomograms for a particle in a box and a harmonic oscillator is shown to agree with the corresponding classical tomograms of phase-space distributions, after a time averaging. The Planck limit of superposition state tomograms of the harmonic oscillator demonstrates the decreasing contribution of interference terms as ℏ→0.