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# Project #14: Excited Electronic States: EOM-CCSD
+
+Description of EOM-CCSD
+An overview of the equation of motion coupled-cluster method is given in [1](#f1).
+
+## Step 1: Obtain CCSD T-amplitudes
+
+You require the converged T-amplitudes generated in [Project # 5](../Project%2305). You should also import the one- and two-electron components of the Hamiltonian.
+
+## Step 2: Create matrix elements of the similarity-transformed Hamiltonian
+
+The similarity-transformed Hamiltonian may be written as:
+
+
+
+in terms of sums over one-body, two-body and higher terms. These terms can then be found via the BCH expansion of the similarity-transformed Hamiltonian, in terms of converged T-amplitudes and one- and two-electron components of the Hamiltonian. A table of terms can be found in the paper by Stanton and Bartlett.[2](#f2)
+
+## Step 3: Diagonalize the similarity-transformed Hamiltonian
+
+## Bonus step: Left hand eigenvectors and oscillator strengths
+
+### References
+1: Stanton, J. F.; Bartlett, R. J. "The Equation of Motion Coupled-Cluster Method. A Systematic Biorthogonal Approach to Molecular Excitation Energies, Transition Probabilities, and Excited State Properties." *J. Chem. Phys.* **10** , 981 (1993). [(return to text)](#r1)
+
+2: Zuev, D.; Vecharynski, E.; Yang, C.; Orms, N.; Krylov, A. I. "New Algorithms for Iterative Matrix-Free Eigensolvers in Quantum Chemistry." *J. Comput. Chem.* **36 (5)**, 273–284 (2015). [(return to text)](#r2)
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