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Electron correlation in finite and extended systems is often described in an effective single-particle framework within the $GW$ approximation. Here, we use the statically screened second-order exchange contribution to the self-energy…

化学物理 · 物理学 2022-03-18 Arno Förster , Lucas Visscher

Using the adiabatic connection, we formulate the free energy in terms of the correlation function of a fictitious system, $h_{\lambda}({\bf r},{\bf r}')$, where $\lambda$ determines the interaction strength. To obtain $h_{\lambda}({\bf…

统计力学 · 物理学 2016-06-15 Derek Frydel , Manman Ma

The iterative quasi-particle-random-phase approximation (QRPA) method we previously developed to accurately calculate properties of individual nuclear states is extended so that it can be applied for nuclei with odd numbers of neutrons and…

核理论 · 物理学 2014-06-03 B. G. Carlsson , J. Toivanen

The collective excitation phenomena in atomic nuclei are studied in two different formulations of the Random Phase Approximation (RPA): (i) RPA based on correlated realistic nucleon-nucleon interactions constructed within the Unitary…

核理论 · 物理学 2009-11-11 N. Paar , P. Papakonstantinou , H. Hergert , R. Roth

Several approximations are tested by calculating the ground-state energy and the energy of the first excited $0^{+}$ state using an exactly solvable model with two symmetric levels interacting via a pairing force. They are the BCS…

核理论 · 物理学 2009-09-29 Nguyen Dinh Dang

Accurate predictions for hydrogen molecular levels require the treatment of electrons and nuclei on an equal footing. While nonrelativistic theory has been effectively formulated this way, calculation of relativistic and quantum…

化学物理 · 物理学 2024-01-24 Krzysztof Pachucki , Jacek Komasa

Large-scale calculations of the E1 strength are performed within the random phase approximation (RPA) based on the relativistic point-coupling mean field approach in order to derive the radiative neutron capture cross sections for all…

核理论 · 物理学 2015-06-11 I. Daoutidis , S. Goriely

We propose a general method for constructing system-dependent basis functions for correlated quantum chemical calculations. Our construction combines features from several traditional approaches: plane waves, localized basis functions, and…

化学物理 · 物理学 2018-02-28 Thomas E. Baker , Kieron Burke , Steven R. White

We develop the theory for the Adiabatic Raman Photoassociation (ARPA) of ultracold atoms to form ultracold molecules in the presence of scattering resonances. Based on a computational method in which we replace the continuum with a discrete…

原子物理 · 物理学 2012-11-27 Alex C. Han , Evgeny A. Shapiro , Moshe Shapiro

Roles of antinucleon degrees of freedom in the relativistic random phase approximation(RPA) are investigated. The energy-weighted sum of the RPA transition strengths is expressed in terms of the double commutator between the excitation…

核理论 · 物理学 2015-12-14 Haruki Kurasawa , Toshio Suzuki

An exactly solvable model is introduced, which is equivalent to the exact shell-model treatment of protons and neutrons in a single j-shell for Fermi-type excitations. Exact energies, quasiparticle numbers and double beta decay Fermi…

核理论 · 物理学 2007-05-23 Jorge G. Hirsch , Peter O. Hess , Osvaldo Civitarese

We present an accurate theoretical determination of rovibrational energy levels of the hydrogen molecule and its isotopologues in its electronic ground state. We consider all significant corrections to the Born-Oppenheimer approximation,…

We have calculated the correlation energy of the homogeneous electron gas (HEG) and the dissociation energy curves of molecules with covalent bonds from a novel implementation of the adiabatic connection fluctuation dissipation (ACFD)…

强关联电子 · 物理学 2015-06-22 Nicola Colonna , Maria Hellgren , Stefano de Gironcoli

With the recent advances in the development of devices capable of performing quantum computations, a growing interest in finding near-term applications has emerged in many areas of science. In the era of non-fault tolerant quantum devices,…

We present a novel theory and implementation for computing coupled electronic and quantal nuclear subsystems on a single potential energy surface, moving beyond the standard Born-Oppenheimer (BO) separation of nuclei and electrons. We…

化学物理 · 物理学 2021-11-15 Ziyong Chen , Jun Yang

We study the reliability of the constrained random phase approximation (cRPA) method for the calculation of low-energy effective Hamiltonians by considering multi-orbital lattice models with one strongly correlated "target" band and two…

强关联电子 · 物理学 2015-07-24 Hiroshi Shinaoka , Matthias Troyer , Philipp Werner

Wavefunctions restricted to electron-pair states are promising models to describe static/nondynamic electron correlation effects encountered, for instance, in bond-dissociation processes and transition-metal and actinide chemistry. To reach…

化学物理 · 物理学 2017-01-18 Katharina Boguslawski , Paweł Tecmer

An ab initio approach formulated under an entropy-inspired repartitioning of the electronic Hamiltonian is presented. This ansatz produces orbital eigenvalues each shifted by entropic contributions expressed as subsets of scaled pair…

化学物理 · 物理学 2025-06-10 Abdulrahman Y. Zamani , Kevin Carter-Fenk

The massively parallel computation of absolute binding free energy with a well-equilibrated system (MP-CAFEE) has been developed [H. Fujitani, Y. Tanida, M. Ito, G. Jayachandran, C. D. Snow, M. R. Shirts, E. J. Sorin, and V. S. Pande, J.…

软凝聚态物质 · 物理学 2009-11-13 Yoshiaki Tanida , Masakatsu Ito , Hideaki Fujitani

The $GW$ approximation has been recently gaining popularity among the method for simulating molecular core-level X-ray photoemission spectra. Traditionally, $GW$ core-level binding energies have been computed using either the cc-pV$n$Z or…

化学物理 · 物理学 2022-07-13 Daniel Mejia-Rodriguez , Alexander Kunitsa , Edoardo Aprà , Niranjan Govind