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Nuclear scattering events with large momentum transfer in atomic, molecular, or solid-state systems may result in electronic excitations. In the context of atomic scattering by dark matter (DM), this is known as the Migdal effect, but the…

High Energy Physics - Phenomenology · Physics 2022-12-28 Carlos Blanco , Ian Harris , Yonatan Kahn , Benjamin Lillard , Jesús Pérez-Ríos

A wide survey has been performed, concerning atomic binding energies and ionization energies used by well- known general purpose Monte Carlo codes and a few specialized electromagnetic models for track structure simulation. Validation…

Computational Physics · Physics 2010-12-09 H. Seo , M. G. Pia , L. Quintieri , M. Begalli , P. Saracco , C. H. Kim

We present ground and excited state energies obtained from Diffusion Monte Carlo (DMC) calculations, using accurate multiconfiguration wave functions, for $N$ electrons ($N\le13$) confined to a circular quantum dot. We analyze the…

Condensed Matter · Physics 2009-10-31 F. Pederiva , C. J. Umrigar , E. Lipparini

By using the wave function ansatz method, we study the energy eigenvalues and wave function for any arbitrary $m$-state in two-dimensional Schr\"{o}dinger wave equation with various power interaction potentials in constant magnetic and…

Quantum Physics · Physics 2014-12-23 Sameer M. Ikhdair , Babatunde J. Falaye , Majid Hamzavi

We propose an approximate method for evaluating the importance of non-Born-Oppenheimer effects on the quantum dynamics of nuclei. The method uses a generalization of the dephasing representation (DR) of quantum fidelity to several diabatic…

Chemical Physics · Physics 2013-01-15 Tomas Zimmermann , Jiri Vanicek

In this paper, an alternative method to range-separated linear-response time-dependent density-functional theory and perturbation theory is proposed to improve the estimation of the energies of a physical system from the energies of a…

Chemical Physics · Physics 2015-06-24 Elisa Rebolini , Julien Toulouse , Andrew M. Teale , Trygve Helgaker , Andreas Savin

Ab initio calculations provide direct access to the properties of pure neutron systems that are challenging to study experimentally. In addition to their importance for fundamental physics, their properties are required as input for…

Nuclear Theory · Physics 2016-11-28 P. Klos , J. E. Lynn , I. Tews , S. Gandolfi , A. Gezerlis , H. -W. Hammer , M. Hoferichter , A. Schwenk

We study numerically the dynamical system of a two-electron atom with the Darwin interaction as a model to investigate scale-dependent effects of the relativistic action-at-a-distance electrodynamics. This dynamical system consists of a…

Chaotic Dynamics · Physics 2007-05-23 Jayme De Luca

The interaction between electronic and vibrational degrees of freedom in single-molecule junctions may result from the dependence of the electronic energies or the electronic states of the molecular bridge on the nuclear displacement. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-09 A. Erpenbeck , R. Härtle , M. Thoss

We study the stability and universal behaviour of the ionization energy of N-electron atoms with nuclear charge Z in the anionic domain (Z<N), considering the nuclear charge Z as an arbitrary (non-integral) parameter. HF and CISD ground…

Atomic Physics · Physics 2013-09-16 G. Gil , A. Gonzalez

This review article deals with some case studies of relativistic and correlation effects in atomic systems. After a brief introduction to relativistic many-electron theory, a number of applications ranging from correlation energy to parity…

Atomic Physics · Physics 2007-05-23 B. P. Das , K. V. P. Latha , Bijaya K. Sahoo , Chiranjib Sur , Rajat K Chaudhuri , D. Mukherjee

The diffusion Monte Carlo method is applied to describe a trapped atomic Bose-Einstein condensate at zero temperature, fully quantum mechanically and nonperturbatively. For low densities, $n(0)a^3 \le 2 \cdot 10^{-3}$ [n(0): peak density,…

Condensed Matter · Physics 2009-10-31 D. Blume , Chris H. Greene

We present full quantum statistical energetics of some electron-light nuclei systems. This is accomplished with the path integral Monte Carlo method. The effects on energetics arising from the change in the nuclear mass are studied. The…

Chemical Physics · Physics 2013-05-30 Ilkka Kylänpää , Tapio T. Rantala , David M. Ceperley

We calculate the ground-state properties of unpolarized two-component Fermi gas by the diffusion quantum Monte Carlo (DMC) methods. Using an extrapolation to the zero effective range of the attractive two-particle interaction, we find…

Quantum Gases · Physics 2013-05-29 Xin Li , Jindrich Kolorenc , Lubos Mitas

We introduce a general Monte Carlo scheme for achieving atomistic simulations with monoelectronic Hamiltonians including the thermalization of both nuclear and electronic degrees of freedom. The kinetic Monte Carlo algorithm is used to…

Materials Science · Physics 2009-11-07 F. Calvo , F. Spiegelman

In this thesis, I discuss the use of the Auxiliary Field Diffusion Monte Carlo method to compute the ground state of nuclear Hamiltonians, and I show several applications to interesting problems both in nuclear physics and in nuclear…

Nuclear Theory · Physics 2007-12-11 Stefano Gandolfi

In wavefunction-based $\textit{ab-initio}$ quantum mechanical calculations, achieving absolute convergence with respect to the one-electron basis set is a long-standing challenge. In this work, using the random phase approximation (RPA)…

Materials Science · Physics 2025-10-17 Hao Peng , Xinguo Ren

We leverage the power of neural quantum states to describe the ground state wave function of solid and liquid atomic hydrogen, including both electronic and protonic degrees of freedom. For static protons, the resulting Born-Oppenheimer…

Strongly Correlated Electrons · Physics 2026-04-27 David Linteau , Saverio Moroni , Giuseppe Carleo , Markus Holzmann

The photonic environment can significantly influence emission properties and interactions among atomic systems. In such scenarios, frequently the electric dipole approximation is assumed that is justified as long as the spatial extent of…

Dynamics of neutral atoms in nonuniform magnetic fields, typical of quadrupole magnetic traps, is considered by applying an accurate method for solving nonlinear systems of differential equations. This method is more general than the…

Atomic Physics · Physics 2009-10-30 V. I. Yukalov
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