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The relativistic corrections for the Dirac-Coulomb system are derived through the method of non-relativistic expansion. By expanding the large and small components of the Dirac wave function and the energy eigenvalues in terms of the square…

Atomic Physics · Physics 2024-12-03 Wanping Zhou , Sanjiang Yang , Haoxue Qiao

The concept of correlation is central to all approaches that attempt the description of many-body effects in electronic systems. Multipartite correlation is a quantum information theoretical property that is attributed to quantum states…

The article considers the successful implementation of relativistic equation-of-motion coupled cluster method for the electron attachment problem (EA-EOMCC) at the level of single- and double- excitation approximation. The implemented…

Atomic Physics · Physics 2016-01-06 Himadri Pathak , Sudip Sasmal , Malaya K. Nayak , Nayana Vaval , Sourav Pal

We lay out the extension of range-separated density-functional theory to a four-component relativistic frame-work using a Dirac-Coulomb-Breit Hamiltonian in the no-pair approximation. This formalism combines a wave-function method for the…

Chemical Physics · Physics 2018-12-12 Julien Paquier , Julien Toulouse

A dynamical formulation of coupled cluster theory is derived using a variational principle. By allowing time-dependent single-particle functions, a high degree of adaptivity is introduced, allowing complex systems to be simulated with high…

Quantum Physics · Physics 2014-11-25 Simen Kvaal

A numerical approach is presented that allows to compute nonequilibrium steady state properties of strongly correlated quantum many-body systems. The method is imbedded in the Keldysh Green's function formalism and is based upon the idea of…

Strongly Correlated Electrons · Physics 2011-10-26 Michael Knap , Wolfgang von der Linden , Enrico Arrigoni

A relativistic coupled-cluster (RCC) theory is implemented to study electron impact excitations of atomic species. As a test case, the electron impact excitations of the $3s ~ ^2S_{1/2} - 3p ~ ^2P_{1/2;3/2}$ resonance transitions are…

Atomic Physics · Physics 2018-02-14 L. Sharma , B. K. Sahoo , P. Malkar , R. Srivastava

In Coupled-Cluster (CC) theory, unphysical complex energies may arise in the presence of strong magnetic fields, near conical intersections, or in systems exhibiting complex Abelian point group symmetries. This issue originates from the…

Chemical Physics · Physics 2025-07-28 Laura Grazioli , Marios-Petros Kitsaras , Stella Stopkowicz

Perturbative approaches are methods to efficiently tackle many-body problems, offering both intuitive insights and analysis of correlation effects. However, their application to systems where light and matter are strongly coupled is…

Chemical Physics · Physics 2025-03-07 Yassir El Moutaoukal , Rosario R. Riso , Matteo Castagnola , Enrico Ronca , Henrik Koch

It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special relativity and Hamilton's Principle. The instantaneous nature of the Coulomb force…

Classical Physics · Physics 2007-05-23 J. H. Field

Coupled-cluster theory is a powerful tool for first-principles calculations of atomic nuclei, enabling accurate predictions of nuclear observables across the Segr\`e chart. While coupled-cluster computations are especially efficient at…

Nuclear Theory · Physics 2026-04-08 F. Marino , F. Bonaiti , P. Demol , S. Bacca , T. Duguet , G. Hagen , G. R. Jansen , T. Papenbrock , A. Tichai

Variational and perturbative relativistic energies are computed and compared for two-electron atoms and molecules with low nuclear charge numbers. In general, good agreement of the two approaches is observed. Remaining deviations can be…

Chemical Physics · Physics 2022-09-21 Dávid Ferenc , Péter Jeszenszki , Edit Mátyus

We present a short account of our work to provide quantum electrodynamics with a 'product picture'. It aims to complement the longer exposition in a recent paper in 'Foundations of Physics' and to help to make that work more accessible. The…

High Energy Physics - Theory · Physics 2024-06-19 Bernard S. Kay

We numerically examine divergences of the total energy in metallic systems of approximate many-body theories using Hartree--Fock as a reference, including perturbative (M\oller-Plesset, MP), coupled cluster (CC) and configuration…

Chemical Physics · Physics 2012-08-31 James J. Shepherd , Andreas Grüneis

We present a detailed derivation and discussion of cavity Born-Oppenheimer coupled cluster (CBO-CC) theory and address cavity-modified electron correlation in the vibrational strong coupling regime. Methodologically, we combine the recently…

Chemical Physics · Physics 2025-12-02 Eric W. Fischer

We introduce an approach to improve single-reference coupled cluster theory in settings where the Aufbau determinant is absent from or plays only a small role in the true wave function. Using a de-excitation operator that can be efficiently…

Chemical Physics · Physics 2024-07-03 Harrison Tuckman , Eric Neuscamman

We present algebraic diagrammatic construction theory for simulating spin-orbit coupling and electron correlation in charged electronic states and photoelectron spectra. Our implementation supports Hartree-Fock and multiconfigurational…

Chemical Physics · Physics 2025-05-12 Rajat Majumder , Alexander Yu. Sokolov

We have developed a relativistic coupled-cluster theory to incorporate nuclear spin-dependent interaction Hamiltonians perturbatively. In this theory, the coupled-cluster operators in the electronic sector are defined as tensor operators of…

Atomic Physics · Physics 2011-05-19 B. K. Mani , D. Angom

We illustrate how the systematic inclusion of multi-spin correlations of the quantum spin-lattice systems can be efficiently implemented within the framework of the coupled-cluster method by examining the ground-state properties of both the…

Statistical Mechanics · Physics 2017-08-24 Chen Zeng , D. J. J. Farnell , R. F. Bishop

When the number of strongly correlated electrons becomes larger, the single-reference coupled-cluster (CC) CCSD, CCSDT, etc. hierarchy displays an erratic behavior, while traditional multi-reference approaches may no longer be applicable…

Chemical Physics · Physics 2025-12-12 Ilias Magoulas , Jun Shen , Piotr Piecuch