 99103 M. P. B\'eccar Varela, M. C. Caputo, M. B. Ferraro, P. Lazzeretti,M. C. Mariani,D. Rial
 Some mathematical properties of
gauge transformations with respect to the Coulomb's gauge: variational analysis
of an energy functional
(55K, Latex)
Apr 8, 99

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Abstract. As gauge invariance of computed magnetic properties, usually partitioned into
diamagnetic and paramagnetic terms, is not achieved within the
algebraic approximation, unless {\sl ad hoc} techniques are adopted,
a general variational treatment is analyzed, attempting to minimize the term
more difficult to evaluate accurately, i.e., the
paramagnetic contribution to magnetic susceptibility, by means of a gauge
transformation. It is shown that an absolute minimum in a
variational sense cannot be determined a priori. However, a `local' minimum
of the paramagnetic contribution to
magnetic susceptibility can be arrived at by
employing general gauge transformations
of polynomial form.
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