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We present linear response theories in the continuum capable of describing continuum spectra and dynamical correlations of finite systems with no spatial symmetry. Our formulation is essentially the same as the continuum random-phase…

Nuclear Theory · Physics 2007-05-23 Takashi Nakatsukasa , Kazuhiro Yabana

Giant resonances in the continuum for deformed nuclei are studied with the time-dependent Hartree-Fock (TDHF) theory in real time and real space. The continuum effect is effectively taken into account by introducing a complex Absorbing…

Nuclear Theory · Physics 2009-11-07 Takashi Nakatsukasa , Kazuhiro Yabana

Linear response theories in the continuum capable of describing continuum spectra and dynamical correlations are presented. Our formulation is essentially the same as the continuum random-phase approximation (RPA) but suitable for uniform…

Nuclear Theory · Physics 2017-08-23 Takashi Nakatsukasa , Kazuhiro Yabana

The continuum random-phase approximation is extended to the one applicable to deformed nuclei. We propose two different approaches. One is based on the use of the three dimensional (3D) Green's function and the other is the small-amplitude…

Nuclear Theory · Physics 2009-11-10 Takashi Nakatsukasa , Kazuhiro Yabana

Maxwell's boundary conditions (MBCs) were long known insufficient to determine the optical responses of spatially dispersive medium. Supplementing MBCs with additional boundary conditions (ABCs) has become a normal yet controversial…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Hai-Yao Deng , Egor A. Muljarov

We devise a new high order local absorbing boundary condition (ABC) for radiating problems and scattering of time-harmonic acoustic waves from obstacles of arbitrary shape. By introducing an artificial boundary $S$ enclosing the scatterer,…

Computational Physics · Physics 2020-07-01 Vianey Villamizar , Sebastian Acosta , Blake Dastrup

This paper deals with the solution of the spherically symmetric time-dependent Hartree-Fock approximation applied to nuclear giant monopole resonances in the small amplitude regime. The problem is spatially unbounded as the resonance state…

Nuclear Theory · Physics 2015-06-16 C. I. Pardi , P. D. Stevenson , K. Xu

The time-dependent Hartree-Fock calculation with a full Skyrme energy functional has been carried out on the three-dimensional Cartesian lattice space to study E1 giant dipole resonances (GDR) in light nuclei. The outgoing boundary…

Nuclear Theory · Physics 2017-08-23 Takashi Nakatsukasa , Kazuhiro Yabana

The nuclear time-dependent Hartree-Fock model formulated in the three-dimensional space,based on the full Skyrme energy density functional and complemented with the tensor force,is presented for the first time. Full self-consistency is…

Nuclear Theory · Physics 2015-03-03 S. Fracasso , E. B. Suckling , P. D. Stevenson

This paper deals with the solution of the spherically symmetric time-dependent Hartree-Fock approximation applied in the case of nuclear giant monopole resonances. The problem is spatially unbounded as the resonance state is in the…

Nuclear Theory · Physics 2013-05-30 C. I. Pardi , P. D. Stevenson

A LightGBM-Incorporated absorbing boundary condition (ABC) computation approach for the wave-equation-based the radial point interpolation meshless (RPIM) method is proposed to simulate wave propagation in open space during the computation…

Computational Physics · Physics 2025-05-13 Qi-Chang Dong , Zhizhang David Chen

We present calculations of the absorption spectrum of semiconductors and insulators comparing various approaches: (i) the two-particle Bethe-Salpeter equation of Many-Body Perturbation Theory; (ii) time-dependent density-functional theory…

Other Condensed Matter · Physics 2009-11-13 Francesco Sottile , Marherita Marsili , Valerio Olevano , Lucia Reining

We present linear response theories in the continuum capable of describing photoionization spectra and dynamic polarizabilities of finite systems with no spatial symmetry. Our formulations are based on the time-dependent local density…

Chemical Physics · Physics 2016-09-08 Takashi Nakatsukasa , Kazuhiro Yabana

A method for incorporating the effect of the resonant continuum into Hartree-Fock+BCS equations is proposed. The method is applied for the case of a neutron-rich nucleus calculated with a Skyrme-type force plus a zero-range pairing…

Nuclear Theory · Physics 2016-09-08 N. Sandulescu , Nguyen Van Giai , R. J. Liotta

Absorbing-boundary-condition method and its applications to nuclear responses and breakup reactions are reported. The method facilitates calculations of the continuum states in the coordinate space of many degrees of freedom. Properties of…

Nuclear Theory · Physics 2017-08-23 Takashi Nakatsukasa , Manabu Ueda , Kazuhiro Yabana

In this pedagogical note we present a short proof of the following main result of arxiv.org/abs/0911.5319, and clarify its relation to the isoperimetric problem. On the hyperbolic plane consider triangles ABC with fixed lengths of AB and…

Metric Geometry · Mathematics 2017-10-12 A. Skopenkov

Recently, the authors have proposed a novel all-angle beam contact (ABC) formulation that combines the advantages of existing point and line contact models in a variationally consistent manner. However, the ABC formulation has so far only…

Computational Engineering, Finance, and Science · Computer Science 2019-05-08 Christoph Meier , Maximilian J. Grill , Wolfgang A. Wall , Alexander Popp

The absorption in the extremal D3-brane background is studied for a class of massless fields whose linear perturbations leave the ten-dimensional background metric unperturbed, as well as the minimally-coupled massive scalar. We find that…

High Energy Physics - Theory · Physics 2009-10-31 M. Cvetic , H. Lu , J. F. Vazquez-Poritz

Any proposed solution to the "screen problem" in quantum mechanics -- the challenge of predicting the joint distribution of particle arrival times and impact positions -- must align with the extensive data obtained from scattering…

Quantum Physics · Physics 2025-12-17 Will Cavendish , Siddhant Das

A method is presented to obtain the canonical-form solutions of the HFB equation for atomic nuclei with zero-range interactions like the Skyrme force. It is appropriate to describe pairing correlations in the continuum in coordinate-space…

Nuclear Theory · Physics 2009-11-10 Naoki Tajima
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