Mc. Bohm et al., NEW ASPECTS IN THE CALCULATION OF ELECTRONIC MOMENTUM PROPERTIES - ANALL-QUANTUM STUDY, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 53(1-2), 1998, pp. 38-44
The electronic properties of the C6H6 and C6D6 molecules have been stu
died by an all-quantum approach, where the classical and quantum degre
es of freedom of the nuclei are taken into account in the evaluation o
f electronic expectation values. In the all-quantum approach suggested
a Feynman path integral Monte Carlo (PIMC) formalism has been linked
to an electronic ab initio Hamiltonian. The electronic expectation val
ues have been calculated as averages over the manifold of nuclear conf
igurations populated in thermal equilibrium This theoretical setup lea
ds to electronic expectation values that depend on the temperature and
on the mass of the nuclei. The ensemble averaged electronic propertie
s differ sizeably from the results derived on the basis of a single nu
clear configuration of minimum energy. This behaviour should have phys
ical implications for the theoretical calculation of electronic moment
um properties such as Compton profiles, reciprocal form factors, etc.
We describe an error source in the theoretical determination of electr
onic momentum properties which has not been commented so far.