Density matrix renormalization group for ab initio Calculations and associated dynamic correlation methods: A review of theory and applications

T Yanai, Y Kurashige, W Mizukami… - … Journal of Quantum …, 2015 - Wiley Online Library
The recent advent of the density matrix renormalization group (DMRG) theory has delivered
a new capability to compute multireference (MR) wave function with large configuration …

A review of canonical transformation theory

E Neuscamman, T Yanai, GKL Chan - International Reviews in …, 2010 - Taylor & Francis
Canonical transformation (CT) theory targets the description of dynamic correlation in
multireference quantum chemistry problems. When combined with a static correlation …

Alternative coupled-cluster ansätze II. The unitary coupled-cluster method

RJ Bartlett, SA Kucharski, J Noga - Chemical physics letters, 1989 - Elsevier
New coupled-cluster methods (UCC (n)) for correlation energies and properties are
developed based upon a unitary cluster ansatz and a finite-order truncation of the energy …

Canonical transformation theory for multireference problems

T Yanai, GK Chan - The Journal of chemical physics, 2006 - pubs.aip.org
We propose a theory to describe dynamic correlations in bonding situations where there is
also significant nondynamic character. We call this the canonical transformation (CT) theory …

Coupled‐cluster method truncated at quadruples

N Oliphant, L Adamowicz - The Journal of chemical physics, 1991 - pubs.aip.org
The coupled‐cluster (CC) equations including single, double, triple, and quadruple
excitation amplitudes (CCSDTQ) are derived diagramatically, and the complete set of …

[HTML][HTML] On the difference between variational and unitary coupled cluster theories

G Harsha, T Shiozaki, GE Scuseria - The Journal of chemical physics, 2018 - pubs.aip.org
There have been assertions in the literature that the variational and unitary forms of coupled
cluster theory lead to the same energy functional. Numerical evidence from previous authors …

Error analysis and improvements of coupled-cluster theory

W Kutzelnigg - Theoretica chimica acta, 1991 - Springer
The error in the energy of the traditional coupled-cluster (TCC) approach and of several
variants is analyzed in terms of the error δ of the cluster operator S. A key feature of this …

Benchmark variational coupled cluster doubles results

T Van Voorhis, M Head-Gordon - The Journal of Chemical Physics, 2000 - pubs.aip.org
We present the first application of the Rayleigh–Ritz variational procedure to the coupled
cluster doubles trial function. The variational approach is applied to the potential surface of …

The implementation of the multireference coupled‐cluster method based on the single‐reference formalism

N Oliphant, L Adamowicz - The Journal of chemical physics, 1992 - pubs.aip.org
A generalized version of the multireference coupled-cluster method using a single-reference
formalism, which we presented in an earlier paper, has been implemented. Any number of …

Canonical transformation theory from extended normal ordering

T Yanai, GK Chan - The Journal of chemical physics, 2007 - pubs.aip.org
The canonical transformation theory of Yanai and Chan [J. Chem. Phys. 124, 194106
(2006)] provides a rigorously size-extensive description of dynamical correlation in …