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Starting from the Bonn potential, relativistic Brueckner-Hartree-Fock (RBHF) equations are solved for nuclear matter in the full Dirac space, which provides a unique way to determine the single-particle potentials and avoids the…

Nuclear Theory · Physics 2021-06-02 Sibo Wang , Qiang Zhao , Peter Ring , Jie Meng

This resonance is similar in character to other resonances in atomic physics. It is parameterized by its energy and its lifetime. A numerical discretization technique, the mapped Fourier grid method (MFG) is extended to the Dirac equation…

Atomic Physics · Physics 2008-09-27 Edward Ackad

We compute nuclear response functions by solving the time-dependent A-body Schr\"odinger equation, recording the time-dependent transition moment and extracting spectral information via Fourier transforms. The solution of the time-dependent…

Favorably scaling numerical time-dependent many-electron techniques such as time-dependent density functional theory (TDDFT) with adiabatic exchange-correlation potentials typically fail in capturing highly correlated electron dynamics. We…

Atomic Physics · Physics 2013-11-25 M. Brics , D. Bauer

We derive a time-dependent density functional theory appropriate for calculating the near-edge X-ray absorption spectrum in molecules and condensed matter. The basic assumption is to increase the space of many-body wave functions from one…

Strongly Correlated Electrons · Physics 2015-06-16 G. F. Bertsch , A. Lee

If one-electron observables of a many-electron system are of interest, a many-electron dynamics can be represented exactly by a one-electron dynamics with effective potentials. The formalism for this reduction is provided by the Exact…

Chemical Physics · Physics 2021-01-04 Jakub Kocák , Axel Schild

In this contribution we study the Dirac equation for a finite size proton in an external electric field with explicit introduction of Dirac-Pauli form factors. Our aim is twofold. On the one hand, we wish to study whether our conclusions…

Nuclear Theory · Physics 2009-11-07 M. Bawin , S. A. Coon

Nodal line in single-component molecular conductor [Pd(dddt)_2] has been examined to understand the tilted Dirac cone on the non-coplanar loop. In the previous work [J. Phys. Soc. Jpn. 87, 113701 (2018)], the velocity of the cone was…

Mesoscale and Nanoscale Physics · Physics 2020-09-08 Yoshikazu Suzumura , Takao Tsumuraya , Reizo Kato , Hiroyasu Matsuura , Masao Ogata

The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a scalar potential is studied in the arrangements associated with the Klein…

Quantum Physics · Physics 2009-01-26 Neven Simicevic

We study a relativistic charged Dirac particle moving in a rotating magnetic field. By using a time-dependent unitary transformation, the Dirac equation with the time-dependent Hamiltonian can be reduced to a Dirac-like equation with a…

Quantum Physics · Physics 2009-11-07 Qiong-gui Lin

Vertex corrections from the transversal particle-hole channel, so-called $\pi$-tons, are generic in models for strongly correlated electron systems and can lead to a displaced Drude peak (DDP). Here, we derive the analytical expression for…

Strongly Correlated Electrons · Physics 2025-04-29 Juraj Krsnik , Anna Kauch , Karsten Held

The controlling of the transmission in the pseudospin-one Dirac-Weyl systems offers a rich tool to study new concepts of massive Dirac electron tunneling by means of a time-dependent potential. The time-periodic potential is one of the…

Materials Science · Physics 2022-05-04 Parisa Majari

Dispersive time-decay estimates are proved for a one-parameter family of one-dimensional Dirac Hamiltonians with dislocations; these are operators which interpolate between two phase-shifted massive Dirac Hamiltonians at $x=+\infty$ and…

Analysis of PDEs · Mathematics 2024-07-19 Joseph Kraisler , Amir Sagiv , Michael I. Weinstein

Silicon microring resonators (MRRs) have shown strong potential in acting as the nonlinear nodes of photonic reservoir computing (RC) schemes. By using nonlinearities within a silicon MRR, such as the ones caused by free-carrier dispersion…

Neural and Evolutionary Computing · Computer Science 2024-06-05 Bernard J. Giron Castro , Christophe Peucheret , Francesco Da Ros

Chiral Perturbation Theory predicts the lifetime of pionium, a hydrogen-like $\pi^+ \pi^-$ atom, to better than 3% precision. The goal of the DIRAC experiment at CERN is to obtain and check this value experimentally by measuring the…

Atomic Physics · Physics 2009-11-10 C. Santamarina , M. Schumann , L. G. Afanasyev , T. Heim

Time-dependent current-density-functional theory (TDCDFT) provides an in principle exact scheme to calculate efficiently response functions for a very broad range of applications. However, the lack of approximations valid for a range of…

Strongly Correlated Electrons · Physics 2015-05-20 Matteo Gatti

We study the tunneling time of Dirac fermions in graphene magnetic barrier through an electrostatic potential and a mass term. This latter generates an energy gap in the spectrum and therefore affects the proprieties of tunneling of the…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Youssef Fattasse , Miloud Mekkaoui , Ahmed Jellal , Abdelhadi Bahaoui

We systematically analyze nuclear reaction data that are sensitive to nuclear size, namely, proton-nucleus total reaction cross sections and differential elastic cross sections, using a phenomenological black-sphere approximation of nuclei…

Nuclear Theory · Physics 2016-07-21 Akihisa Kohama , Kei Iida , Kazuhiro Oyamatsu

We revisit recent developments in the theoretical foundations of time-dependent density functional theory (TDDFT). TDDFT is then applied to the calculation of total cross sections for ionization processes in the antiproton-Helium collision…

Atomic Physics · Physics 2011-03-28 N. Henkel , M. Keim , H. J. Lüdde , T. Kirchner