The equation-of-motion coupled-cluster method: Excitation energies of Be and CO

Abstract The equation-of-motion coupled-cluster (EOM-CC) method for the calculation of excitation energies is presented. The procedure is based upon representing an excited state as an excitation from a coupled-cluster ground state and the excitation energies are obtained by solving a non-Hermitian eigenvalue problem. Numerical applications are reported for Be and CO, and compared to full CI, Fock space multi-reference coupled-cluster, multi-reference MBPT, and propagator results.

[1]  D. Mukherjee The linked-cluster theorem in the open-shell coupled-cluster theory for incomplete model spaces , 1986 .

[2]  R. Bartlett,et al.  A full coupled‐cluster singles and doubles model: The inclusion of disconnected triples , 1982 .

[3]  R. Bartlett Many-Body Perturbation Theory and Coupled Cluster Theory for Electron Correlation in Molecules , 1981 .

[4]  F. Coester,et al.  Short-range correlations in nuclear wave functions , 1960 .

[5]  J. Cizek,et al.  Correlation problems in atomic and molecular systems. VI. Coupled-cluster approach to open-shell systems , 1978 .

[6]  V. McKoy,et al.  HIGHER RANDOM-PHASE APPROXIMATION AS AN APPROXIMATION TO THE EQUATIONS OF MOTION. , 1970 .

[7]  Josef Paldus,et al.  Time-Independent Diagrammatic Approach to Perturbation Theory of Fermion Systems , 1975 .

[8]  J. Geertsen,et al.  Higher RPA and second-order polarization propagator calculations of coupling constants in acetylene , 1986 .

[9]  H. Monkhorst,et al.  Some aspects of the time-dependent coupled-cluster approach to dynamic response functions , 1983 .

[10]  K. Hirao,et al.  A generalization of the Davidson's method to large nonsymmetric eigenvalue problems , 1982 .

[11]  Kimihiko Hirao,et al.  Cluster expansion of the wavefunction. Symmetry-adapted-cluster expansion, its variational determination, and extension of open-shell orbital theory , 1978 .

[12]  Rodney J. Bartlett,et al.  Molecular Applications of Coupled Cluster and Many-Body Perturbation Methods , 1980 .

[13]  K. Hirao,et al.  Cluster expansion of the wavefunction. The open‐shell orbital theory including electron correlation , 1978 .

[14]  H. Kümmel Compound pair states in imperfect Fermi gases , 1961 .

[15]  E. Davidson The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices , 1975 .

[16]  Rodney J. Bartlett,et al.  An open-shell spin-restricted coupled cluster method: application to ionization potentials in nitrogen , 1988 .

[17]  Debashis Mukherjee,et al.  Application of linear response theory in a coupled cluster framework for the calculation of ionization potentials , 1981 .

[18]  K. Emrich,et al.  An extension of the coupled cluster formalism to excited states: (II). Approximations and tests , 1981 .

[19]  B. Weiner,et al.  Correlated electronic states of the lithium hydride molecule studied with the polarization propagator , 1987 .

[20]  Somnath Ghosh,et al.  A spin-adapted linear response theory in a coupled-cluster framework for direct calculation of spin-allowed and spin-forbidden transition energies , 1982 .

[21]  R. Bartlett,et al.  Multireference coupled‐cluster method: Ionization potentials and excitation energies for ketene and diazomethane , 1989 .

[22]  Poul Jo,et al.  Transition moments and dynamic polarizabilities in a second order polarization propagator approach , 1980 .

[23]  J. Cizek On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell-Type Expansion Using Quantum-Field Theoretical Methods , 1966 .

[24]  J. G. Zabolitzky,et al.  Negative parity states in 16O from coupled-cluster equations , 1981 .

[25]  R. Bartlett,et al.  Molecular applications of multireference coupled‐cluster methods using an incomplete model space: Direct calculation of excitation energies , 1988 .

[26]  Jens Oddershede,et al.  Polarization Propagator Calculations , 1978 .

[27]  Josef Paldus,et al.  Time-dependent coupled cluster approach: Excitation energy calculation using an orthogonally spin-adapted formalism , 1986 .

[28]  Rodney J. Bartlett,et al.  Application of high-order multi-reference MBPT to the excitation energies of the Be atom , 1988 .

[29]  K. Hirao,et al.  Cluster expansion of the wave function. Electron correlations in the ground state, valence and Rydberg excited states, ionized states, and electron attached states of formaldehyde by SAC and SAC–CI theories , 1981 .

[30]  rgen Aa. Jensen,et al.  Polarization propagator calculations with an AGP reference state , 1984 .

[31]  R. R. Chowdhury,et al.  Generalized Tamm–Dancoff approximation (GTDA) and random‐phase approximation (GRPA) calculations on LiH, Be, and Li2 , 1987 .

[32]  J. Olsen,et al.  Excitation energies in Be: A comparison of multiconfigurational linear response and full configuration interaction calculations , 1986 .

[33]  J. D. Mcdonald,et al.  Rotational effects on intramolecular vibrational relaxation in dimethyl ether and 1,4 dioxane , 1986 .