0000000000318934

AUTHOR

Evgeny Epifanovsky

showing 2 related works from this author

Spin-orbit couplings within the equation-of-motion coupled-cluster framework: Theory, implementation, and benchmark calculations.

2015

We present a formalism and an implementation for calculating spin-orbit couplings (SOCs) within the EOM-CCSD (equation-of-motion coupled-cluster with single and double substitutions) approach. The following variants of EOM-CCSD are considered: EOM-CCSD for excitation energies (EOM-EE-CCSD), EOM-CCSD with spin-flip (EOM-SF-CCSD), EOM-CCSD for ionization potentials (EOM-IP-CCSD) and electron attachment (EOM-EA-CCSD). We employ a perturbative approach in which the SOCs are computed as matrix elements of the respective part of the Breit-Pauli Hamiltonian using zeroth-order non-relativistic wave functions. We follow the expectation-value approach rather than the response-theory formulation for p…

PhysicsGeneral Physics and AstronomyEquations of motionExpectation valuesymbols.namesakeCoupled clusterMean field theoryQuantum mechanicssymbolsStatistical physicsPerturbation theory (quantum mechanics)Physical and Theoretical ChemistryWave functionHamiltonian (quantum mechanics)Basis setThe Journal of chemical physics
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Implementation of analytic gradients for CCSD and EOM-CCSD using Cholesky decomposition of the electron-repulsion integrals and their derivatives: Th…

2019

We present a general formulation of analytic nuclear gradients for the coupled-cluster with single and double substitution (CCSD) and equation-of-motion (EOM) CCSD energies computed using Cholesky decomposition (CD) representations of the electron repulsion integrals. By rewriting the correlated energy and response equations such that the storage of the largest four-index intermediates is eliminated, CD leads to a significant reduction in disk storage requirements, reduced I/O penalties, and an improved parallel performance. CD thus extends the scope of the systems that can be treated by (EOM-)CCSD methods, although analytic gradients in the framework of CD are needed to extend the applicab…

Physics010304 chemical physicsSubstitution (logic)General Physics and AstronomyContext (language use)Electron010402 general chemistry01 natural sciences0104 chemical sciences0103 physical sciencesBenchmark (computing)Applied mathematicsPhysical and Theoretical ChemistryReduction (mathematics)Cholesky decompositionThe Journal of chemical physics
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