The paper examines whether the variational free complement energy converges for fixed finite Gaussian expansion length as the complement order n tends to infinity.
Free complement method with Gaussian expanded complements: hierarchical decontraction to mitigate the exponential wall before selection
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The previous work (arXiv:2508.04635) of the free complement (FC) method with Gaussian expanded complement functions adopts the Slater initial wavefunction. This may introduce an exponential complexity of the variational coefficients associated to the Gaussian complement functions with respect to the number of electrons at a given order before the overlap matrix based selection, for more than one Gaussian function used in the expansion. The present work uses decontractions via the distinct exponents introduced by the $g$ functions to avoid this scenario at low order of the FC method. The exponential number of the variational parameters is postponed to higher orders of the FC expansion.
fields
physics.chem-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Variational free complement method with Gaussian-expanded complement functions: convergence with fixed Gaussian expansion length
The paper examines whether the variational free complement energy converges for fixed finite Gaussian expansion length as the complement order n tends to infinity.