English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A study of fermion nodes for spin-polarized states of a few-electron ions andmolecules with $s,p,d$ one-particle orbitals is presented. We find exact nodesfor some cases of two electron atomic and molecular states and also the firstexact node for the three-electron atomic system in $^4S(p^3)$ state usingappropriate coordinate maps and wavefunction symmetries. We analyze the casesof nodes for larger number of electrons in the Hartree-Fock approximation andfor some cases we find transformations for projecting the high-dimensional nodemanifolds into 3D space. The node topologies and other properties are studiedusing these projections. We also propose a general coordinate transformation asan extension of Feynman-Cohen backflow coordinates to both simplify the nodaldescription and as a new variational freedom for quantum Monte Carlo trialwavefunctions.Comment: 7 pages, 7 figure

Approximate and exact nodes of fermionic wavefunctions: Coordinate transformations and topologies