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Tomograms in the Quantum-Classical transition

Quantum Physics 2009-11-11 v1 High Energy Physics - Theory Mathematical Physics math.MP

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 0\hbar \to 0 in all \hbar -dependent physical observables, and the other is the Ehrenfest limit where 0\hbar \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 0\hbar \to 0.

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Cite

@article{arxiv.quant-ph/0505220,
  title  = {Tomograms in the Quantum-Classical transition},
  author = {V. I. Man'ko and G. Marmo and A. Simoni and A. Stern and F. Ventriglia},
  journal= {arXiv preprint arXiv:quant-ph/0505220},
  year   = {2009}
}

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21 pages