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20022021
most citedIntegral Coalescence Conditions In Dimension Space

40 citations · 139 across the 17 of their papers we have counts for

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cond-mat.mtrl-sci2007

Asymptotic near nucleus structure of the electron-interaction potential in local effective potential theories

Zhixin Qian, Viraht Sahni

In local effective potential theories of electronic structure, the electron correlations due to the Pauli exclusion principle, Coulomb repulsion, and correlation-kinetic effects, a…

cond-mat.mtrl-sci2003

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…

cond-mat.mtrl-sci2003★ 10 cited

Quantal Density Functional Theory of the Hydrogen Molecule

Xiao-Yin Pan, Viraht Sahni

In this paper we perform a Quantal Density Functional Theory (Q-DFT) study of the Hydrogen molecule in its ground state.

cond-mat.mtrl-sci2003★ 40 cited

Integral Coalescence Conditions In Dimension Space

Xiao-Yin Pan, Viraht Sahni

We have derived the integral form of the cusp and node coalescence conditions satisfied by the wavefunction at the coalescence of two charged particles in dimension spac…

cond-mat.mtrl-sci2002★ 28 cited

Quantal Density Functional Theory of Degenerate States

Viraht Sahni, Xiao-Yin Pan

The treatment of degenerate states within Kohn-Sham density functional theory (KS-DFT) is a problem of longstanding interest. We propose a solution to this mapping from the interac…

cond-mat.mtrl-sci2002

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…