Tomograms in the Quantum-Classical transition

Details Tomograms in the Quantum-Classical transition Tomograms in the Quantum-Classical transition

2005-05-30

arxiv.org/abs/quant-ph/0505220v1

Phys.Lett. A343 (2005) 251-256

Physics

Quantum Physics

21 pages

Scientific paper

10.1016/j.physleta.2005.05.090

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

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