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In this paper we propose an ab initio method to solve quantum many-body problems of molecular dynamics where both the electronic and the nuclear degrees are represented by ensembles of trajectories and guiding waves in physical space. Both…

Atomic Physics · Physics 2025-01-28 Ivan P. Christov

An electron density functional approach for the calculation of the nuclear multipole moments is presented. The electronic matrix elements entering the experimentally observed hyperfine electron-nucleus interaction constants in atoms are…

Nuclear Theory · Physics 2007-05-23 R. L. Pavlov , P. P. Raychev , V. P. Garistov , M. Dimitrova-Ivanovich , J. Maruani

We develop an effective field theory (EFT) for deformed odd-mass nuclei. These are described as an axially symmetric core to which a nucleon is coupled. In the coordinate system fixed to the core the nucleon is subject to an axially…

Nuclear Theory · Physics 2020-10-28 T. Papenbrock , H. A. Weidenmüller

The study of the magnetic properties of atoms and nuclei was performed. A linear dependence between the strength of the magnetic field at the nucleus and the effective charge divided by the major quantum number were analyzed and explained.…

Atomic Physics · Physics 2024-09-02 Andrzej Tucholski , Zygmunt Patyk

Electron transfer (ET) between primary electron donors and acceptors is modeled in the photosystem II reaction center (RC). Our model includes (i) two discrete energy levels associated with donor and acceptor, interacting through a…

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…

Chemical Physics · Physics 2021-11-15 Ziyong Chen , Jun Yang

We develop an effective field theory (EFT) for nuclear vibrations. The key ingredients - quadrupole degrees of freedom, rotational invariance, and a breakdown scale around the three-phonon level - are taken from data. The EFT is developed…

Nuclear Theory · Physics 2015-12-15 E. A. Coello Pérez , T. Papenbrock

The charge and magnetization distributions of the proton and neutron are encoded in their elastic electromagnetic form factors, which can be measured in elastic electron--nucleon scattering. By measuring the form factors, we probe the…

Nuclear Experiment · Physics 2011-06-15 John Arrington , Kees de Jager , Charles F. Perdrisat

Identifying the microscopic nature of non-equilibrium energy transfer mechanisms among electronic, spin and lattice degrees of freedom is central for understanding ultrafast phenomena such as manipulating magnetism on the femtosecond…

The Exact Factorization framework is extended and utilized to introduce the electronic-states of correlated electron-photon systems. The formal definitions of an exact scalar potential and an exact vector potential that account for the…

Quantum Physics · Physics 2018-09-26 Ali Abedi , Elham Khosravi , Ilya Tokatly

The central tenet of effective theory is that the details of short-distance physics will not have a significant impact on low-energy observables. Here we perform an analysis of electron-deuteron scattering at low momentum transfers which is…

Nuclear Theory · Physics 2009-04-17 D. R. Phillips , T. D. Cohen

Mixed quantum-classical mechanics descriptions are critical to modeling coupled electron-nuclear dynamics, i.e. non-adiabatic molecular dynamics, relevant to photochemical and photophysical processes. We argue that, for polyatomic…

Chemical Physics · Physics 2018-08-21 Roman Baskov , Alexander White , Dmitry Mozyrsky

We use a 1-dimensional tight binding model with an impurity site characterized by electron-vibration coupling, to describe electron transfer and localization at zero temperature, aiming to examine the process of polaron formation in this…

Other Condensed Matter · Physics 2015-06-11 Guangqi Li , Bijan Movaghar , Abraham Nitzan , Mark A. Ratner

We give a complete quantum analysis of the Aharonov-Bohm (AB) magnetic phase shift involving three entities, the electron, the charges constituting the solenoid current, and the vector potential. The usual calculation supposes that the…

Quantum Physics · Physics 2017-05-31 Philip Pearle , Anthony Rizzi

At present, there are many methods of quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of…

Quantum Physics · Physics 2017-09-15 Dmitry Makarov

We present a novel mixed quantum-classical approach to the coupled electron-nuclear dynamics based on the exact factorization of the electron-nuclear wave function, recently proposed in [A. Abedi, N. T. Maitra, and E. K. U. Gross, Phys.…

Chemical Physics · Physics 2015-06-18 Ali Abedi , Federica Agostini , E. K. U. Gross

The exact factorization of an electron-nuclear wavefunction [A. Abedi, N. T. Maitra, and E. K. U. Gross, Phys. Rev. Lett. 105, 123002 (2010)] allows us to define the rigorous nuclear time-dependent Schr\"{o}dinger equation (TDSE) with a…

Chemical Physics · Physics 2016-11-03 Yasumitsu Suzuki , Kazuyuki Watanabe

Solving the electronic Schr\"odinger equation for changing nuclear coordinates provides access to the Born-Oppenheimer potential energy surface. This surface is the key starting point for almost all theoretical studies of chemical processes…

Chemical Physics · Physics 2022-01-14 Markus Reiher

The nuclear-polarization corrections to the energy levels of highly charged ions are systematically investigated to leading order in the fine-structure constant. To this end, the notion of effective photon propagators with…

Atomic Physics · Physics 2024-03-18 Igor A. Valuev , Natalia S. Oreshkina

The interplay of spin-polarized electronic edge states with the dynamics of the host nuclei in quantum Hall systems presents rich and non-trivial transport physics. Here, we develop a Landauer-B\"uttiker approach to understand various…

Mesoscale and Nanoscale Physics · Physics 2018-01-08 Aniket Singha , M. H. Fauzi , Yoshiro Hirayama , Bhaskaran Muralidharan