Optimal bounds for Tsallis-like entropies in quantum scattering of spinless particles

Ion, M.L.D.; Ion, D.B.

doi:10.1103/PhysRevLett.83.463

Optimal bounds for Tsallis-like entropies in quantum scattering of spinless particles

M.L.D. Ion
(
- Bucharest U. and
- Bucharest, IFIN-HH
)
,
D.B. Ion
(
- Bucharest U. and
- Bucharest, IFIN-HH
)

2000

5 pages

Published in:

Phys.Rev.Lett. 83 (2000) 463-467

DOI:

10.1103/PhysRevLett.83.463

View in:

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Abstract: (APS)

The angle-angular momentum entropic upper bounds are proved in a more general form by using Tsallis-like entropies for the quantum scattering of the spinless particles. So, the problem to find an upper bound for all Tsallis-like scattering entropy when the elastic integrated cross section σel and the forward differential cross section dσdΩ(1) are fixed is completely solved in terms of the optimal entropies obtained from the principle of minimum distance in the space of states. The results on experimental tests of these optimal upper bounds are presented for both extensive and nonextensive statistics cases.

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