Classical Limit on Quantized
نویسنده
چکیده
It is proved that the matrix elements b F n;n+k between harmonic oscillator eigenvectors of any smooth observable in the quantized Lobachevskii plane converge to the Fourier coeecients F k of the corresponding classical observable F(A;) at the classical limit n ! 1; ~ ! 0; n~ ! A, k xed, where A, are the oscillator action-angle variables. The Wigner functions are then deened and, as a consequence of the above result, their convergence to (A ? A 0)e ?ik at the classical limit is proved when computed on the harmonic oscillator eigenstates n and n + k.
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