63 citations · 313 across the 36 of their papers we have counts for
6 papers · 1 filter
Symmetric Density Functionals
B. G. Giraud
Variations in distinct restricted spaces of wave functions generate distinct density functionals. In particular, angular momentum projected Slater determinants define a new density…
Continuum Singularities of a Mean Field Theory of Collisions
B. G. Giraud, A. Weiguny
Consider a complex energy for a -particle Hamiltonian and let be any wave packet accounting for any channel flux. The time independent mean field (TIMF) approximatio…
On positive functions with positive Fourier transforms
B. G. Giraud, R. Peschanski
Using the basis of Hermite-Fourier functions (i.e. the quantum oscillator eigenstates) and the Sturm theorem, we derive the practical constraints for a function and its Fourier tra…
Coordinates, modes and maps for the density functional
B. G. Giraud, A. Weiguny, L. Wilets
Special bases of orthogonal polynomials are defined, that are suited to expansions of density and potential perturbations under strict particle number conservation. Particle-hole e…
Constrained Orthogonal Polynomials
B. G. Giraud
We define sets of orthogonal polynomials satisfying the additional constraint of a vanishing average. These are of interest, for example, for the study of the Hohenberg-Kohn functi…
Complex Scaled Spectrum Completeness for Coupled Channels
B. G. Giraud, K. Kato, A. Ohnishi
The Complex Scaling Method (CSM) provides scattering wave functions which regularize resonances and suggest a resolution of the identity in terms of such resonances, completed by t…