Many-body nodal hypersurface and domain averages for correlated wave functions
Shuming Hu, Kevin Rasch, Lubos Mitas

TL;DR
This paper introduces the concepts of nodal hypersurface and domain averages for antisymmetric wave functions, analyzing their properties through solvable electron cases and discussing future research directions.
Contribution
It presents a novel framework for analyzing antisymmetric wave functions using nodal hypersurface and domain averages, with initial analysis and potential for further development.
Findings
Properties of nodal hypersurfaces and domain averages are characterized.
Explicit solvable cases demonstrate the application of these concepts.
Discussion of future research avenues in wave function analysis.
Abstract
We outline the basic notions of nodal hypersurface and domain averages for antisymmetric wave functions. We illustrate their properties and analyze the results for a few electron explicitly solvable cases and discuss possible further developments.
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