Improvement of the Heisenberg and Fisher-information-based uncertainty relations for D-dimensional central potentials

Details Improvement of the Heisenberg and Fisher-information-based uncertainty relations for D-dimensional central potentials Improvement of the Heisenberg and Fisher-information-based uncertainty relations for D-dimensional central potentials

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006njph....8..330s&link_type=abstract

New Journal of Physics, Volume 8, Issue 12, pp. 330 (2006).

Physics

8

Scientific paper

The Heisenberg and Fisher-information-based uncertainty relations are
improved for stationary states of single-particle systems in a
D-dimensional central potential. The improvement increases with the
squared orbital hyperangular quantum number. The new uncertainty
relations saturate for the isotropic harmonic oscillator wavefunction.

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