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 $\hslash \to 0$ in all $\hslash$-dependent physical observables, and the other is the Ehrenfest limit where $\hslash \to 0$ while keeping constant the mean value of the energy.The Ehrenfest limit of eigenstate tomograms for a particle in a box and a harmonic oscillatoris 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 demostrating the decreasing contribution of interferences terms as $\hslash \to 0$.

21 pages

References in corpus (2)

• Interference and entanglement: an intrinsic approach
• Classical mechanics is not h=0 limit of quantum mechanics

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