1 citations · 2 across the 5 of their papers we have counts for
5 papers
Bijectivity of the Normalization and Fermi-Coulomb Hole Sum Rules for Approximate Wave Functions
Xiao-Yin Pan, Viraht Sahni, Lou Massa
We prove the bijectivity of the constraints of normalization and of the Fermi-Coulomb hole charge sum rule at each electron position for approximate wave functions. This bijectivit…
The constrained-search--variational method: application to the ground state of Helium atom
Xiao-Yin Pan, Viraht Sahni, Lou Massa
n a recent paper we proposed the expansion of the space of variations in energy calculations by considering the approximate wave function to be a functional of functions $χ: ψ=…
On the Hylleraas Coordinates
Xiao-Yin Pan, Viraht Sahni, Lou Massa
The Hylleraas coordinates , , are the natural coordinates for the determination of properties of the Helium atom, the po…
Coalescence constraints of many-body systems in one dimension
Xiao-Yin Pan, Viraht Sahni
For one-dimensional many-body systems interacting via the \textit{Coulomb force} and with \textit{arbitrary} external potential energy, we derive (\textit{i}) the \textit{node coal…
Corollary to the Hohenberg-Kohn Theorem
Xiao-Yin Pan, Viraht Sahni
In this paper we construct such a set of `degenerate' Hamiltonians , which differ by an `intrinsic' constant but represent different physical systems yet possess the same…