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The exchange splitting $J$ of the interaction energy of the hydrogen atom with a proton is calculated using the conventional surface-integral formula $J_{\textrm{surf}}[\varphi]$, the volume-integral formula of the symmetry-adapted…

Chemical Physics · Physics 2015-07-09 Piotr Gniewek , Bogumił Jeziorski

The conventional surface integral formula $J_{\rm surf}[\Phi]$ and an alternative volume integral formula $J_{\rm var}[\Phi]$ are used to compute the asymptotic exchange splitting of the interaction energy of the hydrogen atom and a proton…

Chemical Physics · Physics 2016-05-04 Piotr Gniewek , Bogumił Jeziorski

We present a method for calculation of the second-order exchange-dispersion energy in the framework of the symmetry-adapted perturbation theory (SAPT) for weakly interacting monomers described with multiconfigurational wave functions. The…

Chemical Physics · Physics 2019-10-11 Hapka Michał , Przybytek Michał , Pernal Katarzyna

We use the multipole technique to derive four equivalent expressions for the bipolar expansion of the inverse distance, valid in all the regions of configuration space. Using the first-order perturbation theory, we calculate the overlap…

Mathematical Physics · Physics 2016-06-24 G. Vaman

One important development in interaction potential models, or atomistic force fields, for molecular simulation is the inclusion of explicit polarisation, which represents the induction effects of charged or polar molecules on polarisable…

Soft Condensed Matter · Physics 2017-05-25 Agílio A. H. Pádua

We extend first-order multiconfigurational symmetry-adapted perturbation theory, SAPT(MC), [Hapka M. et al. JCTC, 2021, 17], to account for double-exchange effects, where up to two electron pairs are exchanged between interacting monomers.…

Chemical Physics · Physics 2025-04-21 Dominik Cieśliński , Michał Przybytek , Grzegorz Chałasiński , Michał Hapka

Symmetry-adapted perturbation theory (SAPT) is a popular and versatile tool to compute and decompose noncovalent interaction energies between molecules. The intramolecular SAPT (ISAPT) variant provides a similar energy decomposition between…

Chemical Physics · Physics 2024-05-09 Du Luu , Clemence Corminboeuf , Konrad Patkowski

We present a symmetry-adapted perturbation theory (SAPT) for the interaction of two high-spin open-shell molecules (described by their restricted open-shell Hartree-Fock determinants) resulting in low-spin states of the complex. The…

Chemical Physics · Physics 2018-05-23 Konrad Patkowski , Piotr S. Żuchowski , Daniel G. A. Smith

In this work, we present expressions for the full effective potential corresponding to the one-photon exchange interaction within the framework of an effective Schr\"{o}dinger-like equation, which is derived exactly from the Bethe-Salpeter…

Nuclear Theory · Physics 2025-03-18 Zi-Wen Zhang , Hai-Qing Zhou

The exchange splitting energy $J$ of the lowest \emph{gerade} and \emph{ungerade} states of the H$_2^+$ molecular ion was calculated using a volume integral expression of symmetry-adapted perturbation theory and standard basis set…

Quantum Physics · Physics 2015-07-09 Piotr Gniewek , Bogumił Jeziorski

The problem of proton-antiproton motion in the ${\rm H}$--${\rm \bar{H}}$ system is investigated by means of the variational method. We introduce a modified nuclear interaction through mass-scaling of the Born-Oppenheimer potential. This…

Quantum Physics · Physics 2015-06-04 Henrik Stegeby , Konrad Piszczatowski , Hans O Karlsson , Roland Lindh , Piotr Froelich

The most widely-used density functionals for the exchange-correlation energy are inexact for one-electron systems. Their self-interaction errors can be severe in some applications. The problem is not only to correct the self-interaction…

Chemical Physics · Physics 2009-11-10 Stephan Kümmel , John P. Perdew

Intramolecular symmetry-adapted perturbation theory (ISAPT) is a method to compute and decompose the noncovalent interaction energy between two molecular fragments A and B connected via a linker C. The existing ISAPT algorithm displays…

Chemical Physics · Physics 2022-09-13 Du Luu , Konrad Patkowski

The density-functional based symmetry-adapted perturbation theory [SAPT(DFT)] has been applied to the argon, krypton, and benzene dimers. It is shown that--at a small fraction of computational costs--SAPT(DFT) can provide similar accuracies…

Chemical Physics · Physics 2007-05-23 Rafał Podeszwa , Krzysztof Szalewicz

We revisit the question of the contributions of two-photon exchange with $\Delta(1232)$ excitation to the electron-proton scattering in a hadronic model. Three improvements over the previous calculations are made, namely, correct vertex…

Nuclear Theory · Physics 2015-09-21 Hai-Qing Zhou , Shin Nan Yang

A method is presented for calculating binding energies and other properties of extended interacting systems using the projected density of transitions (PDoT) which is the probability distribution for transitions of different energies…

Strongly Correlated Electrons · Physics 2009-10-31 Roger Haydock

The contribution of virtual excitations to the energy levels of electronic and muonic hydrogen is investigated combining a model-independent approach for the main part with quark model predictions for the remaining corrections. Precise…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Rosenfelder

Background: The phase-shift analysis for proton-proton scattering has been studied by various research groups using the realistic potentials to be comprised of various internal interactions based on an exchange of pions and mesons,…

Nuclear Theory · Physics 2024-04-10 Lalit Kumar , Arushi Sharma , Anil Khachi , Ayushi Awasthi , O. S. K. S. Sastri

The random phase approximation (RPA) systematically overestimates the magnitude of the correlation energy and generally underestimates cohesive energies. This originates in part from the complete lack of exchange terms, which would…

Materials Science · Physics 2018-12-12 Felix Hummel , Andreas Grüneis , Georg Kresse , Paul Ziesche

Plane-wave electronic-structure predictions based upon orbital-dependent density-functional theory (OD-DFT) approximations, such as hybrid density-functional methods and self-interaction density-functional corrections, are severely affected…

Materials Science · Physics 2011-10-19 Yanli Li , Ismaila Dabo
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