The calculation of realistic N-body wave functions for identical fermions is still an open problem in physics, chemistry, and materials science, even for N as small as two. A recently discovered fundamental algebraic structure of many-body Hilbert space allows an arbitrary many-fermion wave function to be written in terms of a finite number of antisymmetric functions called shapes. Shapes naturally generalize the single-Slater-determinant form for the ground state to more than one dimension. Their number is exactly N!dā1 in d dimensions. An efficient algorithm is described to generate all fermion shapes in spaces of odd dimension, which improves on a recently published general algorithm. The results are placed in the context of contemporary investigations of strongly correlated electrons.
CITATION STYLE
Sunko, D. K. (2017). Fundamental Building Blocks of Strongly Correlated Wave Functions. Journal of Superconductivity and Novel Magnetism, 30(1), 35ā41. https://doi.org/10.1007/s10948-016-3799-1
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