Tomograms in the quantum–classical transition

Abstract 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 .

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