Combinatorics

Physics

Cluster (spacecraft)

Pure mathematics

Mathematics

Economic growth

Manifold (fluid mechanics)

Biology

Algorithm

Reduction (mathematics)

Algebra over a field

Commutator

Engineering

Mathematical analysis

Series (stratigraphy)

Paleontology

Coupled cluster

Economics

Hausdorff space

Programming language

Geometry

Lambda

Convergence (economics)

Molecule

Computer science

Quantum mechanics

Applied mathematics

Vector projection

Binary number

Projection (relational algebra)

Lie conformal algebra

Mechanical engineering

Algebraic number

Arithmetic

Physical Review Letters

A full coupled-cluster expansion suitable for sparse algebraic operations is developed by expanding the commutators of the Baker-Campbell-Hausdorff series explicitly for cluster operators in binary representations. A full coupled-cluster reduction that is capable of providing very accurate solutions of the many-body Schr\"odinger equation is then initiated employing screenings to the projection manifold and commutator operations. The projection manifold is iteratively updated through the single commutators $⟨\ensuremath{\kappa}|[\stackrel{^}{H},\stackrel{^}{T}]|0⟩$ comprised of the primary clusters ${\stackrel{^}{T}}_{\ensuremath{\lambda}}$ with a substantial contribution to the connectivity. The operation of the commutators is further reduced by introducing a correction, taking into account the so-called exclusion-principle-violating terms that provides a fast and near-variational convergence in many cases.

Full Coupled-Cluster Reduction for Accurate Description of Strong Electron Correlation