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By Lomonaco S.J.

The hot program of the foundations of quantum mechanics to cryptography has ended in a awesome new measurement in mystery communique. because of those new advancements, it's now attainable to build cryptographic verbal exchange structures which observe unau- unauthorized eavesdropping should still it take place, and which offer a warrantly of no eavesdropping should still it no longer take place.

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20 P. L. Grande and G. Schiwietz states) and as a consequence the results at intermediate to high energies are significantly improved. However, a breakdown of this model is observed for energies below 70 keV. This is attributed to the incomplete treatment of the two-center effects and to the neglect of higher order residual projectile– target interactions in the CDW-EIS model. Furthermore, at low energies it is not able to describe the Fermi–Teller effect responsible for the slow decrease of the stopping power as a function of the projectile energy.

Abramowitz and I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1970. [47] A. Salin, private communication. [48] W. Fritsch and C. D. Lin, J. Phys. B, 1982, 15, 1225; W. Fritsch and C. D. Lin, Phys. Rev. A, 1983, 27, 3361. [49] Fritsch, private communication. [50] J. F. Reading, T. Bronk, A. L. Ford, L. A. Wehrman and K. A. Hall, J. Phys. B: At. Mol. Opt. , 1997, 30, L189. [51] H. Knudsen, U. Mikkelsen, K. Kirsebom, S. P. Moeller, E. Uggerhoef, J. Slevin, M. Charlton and E. Morenzoni, Phys.

1 in terms of the main parameters, Z1 and v: The ranges of applicability of the Bohr and Bethe theories pertain mostly to high energies, since a common assumption in these formulations is the condition of bare ions (point charges). The original ideas of Bohr where further explored by many people and were the point of reference for numerous advances in the area. Further developments were based on statistical approaches considering slow ions [5,6], while others made use of effective-charge models [7,8] for swift ions.

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