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The adaptive perturbation method decomposes a Hamiltonian by the diagonal elements and non-diagonal elements of the Fock state. The diagonal elements of the Fock state are solvable but can contain the information about coupling constants.…

High Energy Physics - Theory · Physics 2020-12-25 Chen-Te Ma

A technique to deal with Coulomb electron distortions in the analysis of (e,e'p) reactions is presented. Thereby, no approximations are made. The suggested technique relies on a partial-wave expansion of the electron wave functions and a…

Nuclear Theory · Physics 2008-11-26 V. Van der Sluys , K. Heyde , J. Ryckebusch , M. Waroquier

In this work, we introduce a selective and scalable extension of the multi-step Rayleigh-Schrodinger and Brillouin-Wigner perturbative scheme (see arXiv:2408.16505), designed to efficiently access the low-energy spectrum of molecular…

Chemical Physics · Physics 2025-09-30 Oussama Bindech , Saad yalouz , Vincent Robert

Four-component Dirac Hartree--Fock is an accurate mean-field method for treating molecular systems where relativistic effects are important. However, the computational cost and complexity of the two-electron interaction makes this method…

Chemical Physics · Physics 2021-06-08 Shichao Sun , Torin Stetina , Tianyuan Zhang , Hang Hu , Edward F. Valeev , Qiming Sun , Xiaosong Li

We reveal limitations of several standard coupled-cluster (CC) methods with perturbation-theorybased noniterative or approximate iterative treatments of triple excitations when applied to thedetermination of highly accurate potential energy…

Chemical Physics · Physics 2021-10-04 Jan Schnabel , Lan Cheng , Andreas Köhn

A quantitative description of the excited electronic states of point defects and impurities is crucial for understanding materials properties, and possible applications of defects in quantum technologies. This is a considerable challenge…

The Stark effect in hydrogen and the cubic anharmonic oscillator furnish examples of quantum systems where the perturbation results in a certain ionization probability by tunneling processes. Accordingly, the perturbed ground-state energy…

Statistical Mechanics · Physics 2015-10-05 Hector Mera , T. G. Pedersen , Branislav K. Nikolic

We propose a theoretical framework for analyzing three-body hadronic $B$ meson decays based on the perturbative QCD approach. The crucial nonperturbative input is a two-hadron distribution amplitude for final states, whose involved…

High Energy Physics - Phenomenology · Physics 2014-04-17 Wen-Fei Wang , Hao-Chung Hu , Hsiang-nan Li , Cai-Dian Lü

A method for quantum corrections of Hanbury-Brown/Twiss (HBT) interferometric radii produced by semi-classical event generators is proposed. These corrections account for the basic indistinguishability and mutual coherence of closely…

High Energy Physics - Phenomenology · Physics 2013-07-29 V. M. Shapoval , P. Braun-Munzinger , Iu. A. Karpenko , Yu. M. Sinyukov

In the Schrodinger picture of the Dirac quantum mechanics, defined in charts with spatially flat Robertson-Walker metrics and Cartesian coordinates the perturbation theory is applied to the interacting part of the Hamiltonian operator…

General Relativity and Quantum Cosmology · Physics 2007-11-28 Pop Adrian Alin

Quantum parameter estimation holds the promise of quantum technologies, in which physical parameters can be measured with much greater precision than what is achieved with classical technologies. However, how to obtain a best precision when…

Quantum Physics · Physics 2024-03-05 Jianning Li , Dianzhen Cui , X. X. Yi

A new variational basis with well-behaved local approximation properties and multiple output is proposed for Coulomb systems. The trial function has proper behaviour at all Coulomb centres. Nonlinear asymptotic parameters are introduced…

Atomic Physics · Physics 2007-05-23 Vladimir S. Vanyashin

Understanding the quantum dynamics of spin defects and their coherence properties requires accurate modeling of spin-spin interaction in solids and molecules, for example by using spin Hamiltonians with parameters obtained from…

Materials Science · Physics 2021-02-02 Krishnendu Ghosh , He Ma , Mykyta Onizhuk , Vikram Gavini , Giulia Galli

The strong interaction, i.e., quantum chromodynamics at the low energy nuclear regime, is notoriously known to be challenging for predictive modeling. Here, we use the simplest possible nuclear effective field theory (EFT), and show that in…

Nuclear Theory · Physics 2022-07-21 Hilla De-Leon , Doron Gazit

Energies of (3s2 3p6 3d9 4l4l'), (3s2 3p5 3d10 4l4l'), and (3s 3p6 3d10 4l4l') states for Cu-like ions with Z = 30 -100 are evaluated to second order in relativistic many-body perturbation theory (RMBPT) starting from a Ni-like Dirac-Fock…

Atomic Physics · Physics 2009-11-10 U. I. Safronova , W. R. Johnson , A. Shlyaptseva , S. Hamasha

Adaptive perturbation is a new method for perturbatively computing the eigenvalues and eigenstates of quantum mechanical Hamiltonians that are widely believed not to be solvable by such methods. The novel feature of adaptive perturbation…

High Energy Physics - Theory · Physics 2008-11-26 Marvin Weinstein

Non-perturbative phenomena in four-wave mixing spectra of semiconductors are studied using the exact solution of a widely used phenomenological non-linear equation of motion of the exciton polarization. It is shown that Coulomb interaction,…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 Mikhail Erementchouk , Michael N. Leuenberger , L. J. Sham

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

The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechanical few-body system is problematic when applied to particles interacting through contact forces. In dimensions higher than one the approach…

Mesoscale and Nanoscale Physics · Physics 2017-03-28 M. Rontani , G. Eriksson , S. Åberg , S. M. Reimann

The proton-proton fusion rate is calculated at low energy in a lattice effective field theory (EFT) formulation. The strong and the Coulomb interactions are treated non-perturbatively at leading order in the EFT. The lattice results are…

Nuclear Theory · Physics 2018-05-09 Gautam Rupak , Pranaam Ravi
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