# An approximate coupled cluster theory via nonlinear dynamics and synergetics: The adiabatic decoupling conditions.

@article{Agarawal2021AnAC, title={An approximate coupled cluster theory via nonlinear dynamics and synergetics: The adiabatic decoupling conditions.}, author={Valay Agarawal and Chayan Patra and Rahul Maitra}, journal={The Journal of chemical physics}, year={2021}, volume={155 12}, pages={ 124115 } }

The coupled cluster iteration scheme is analyzed as a multivariate discrete time map using nonlinear dynamics and synergetics. The nonlinearly coupled set of equations to determine the cluster amplitudes are driven by a fraction of the entire set of cluster amplitudes. These driver amplitudes enslave all other amplitudes through a synergistic inter-relationship, where the latter class of amplitudes behave as the auxiliary variables. The driver and the auxiliary variables exhibit vastly…

## 4 Citations

### A Synergistic Approach towards Optimization of Coupled Cluster Amplitudes by Exploiting Dynamical Hierarchy.

- PhysicsChemphyschem : a European journal of chemical physics and physical chemistry
- 2022

The coupled cluster iteration scheme for determining the cluster amplitudes involves a set of nonlinearly coupled difference equations. In the space spanned by the amplitudes, the set of equations…

### Assessing the Performance of Nonlinear Regression based Machine Learning Models to Solve Coupled Cluster Theory

- Geology
- 2021

The iteration dynamics of the coupled cluster equations exhibits a synergistic relationship among the cluster amplitudes. The iteration scheme may be viewed as a multivariate discrete time…

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