ISSN:
1434-6079
Keywords:
31.10. + z
;
31.15. + q
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Rigorous upper and lower bounds to the atomic Compton profileJ(q) are obtained for any value of the momentum transferredq in terms of radial expectation values 〈p n 〉 of the atomic momentum density γ(p). In doing so, a procedure based on moment-theoretic techniques and Chebyshev inequalities has been used. This type of results can be employed to study the compatibility of diverse information obtained by using different models, techniques, numerical calculations or experimental data. The same method allows also to obtain approximations to the Compton profile and to bound other relevant characteristics ofJ(q). A comparison of the approximations with some previously known Maximum Entropy Approximations is done. In order to test the accuracy of the bounds, a numerical study of the results is carried out in a Hartree-Fock framework for atomic systems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01437258
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