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We construct a tridiagonal matrix representation for the three dimensions Dirac-Coulomb Hamiltonian that provides for a simple and straightforward relativistic extension of the complex scaling method. Besides the Coulomb interaction,…

Quantum Physics · Physics 2008-11-26 A. D. Alhaidari

I present a covariant approach to developing 1+3 formalism without an introduction of any basis or coordinates. In the formalism, a spacetime which has a timelike congruence is assumed. Then, tensors are split into temporal and spatial…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Chan Park

In this article, a Probability Mass Function (PMF) estimation method which tames the curse of dimensionality is proposed. This method, called Partial Coupled Tensor Factorization of 3D marginals or PCTF3D, has for principle to partially…

Signal Processing · Electrical Eng. & Systems 2025-09-08 Philippe Flores , Konstantin Usevich , David Brie

In order to simulate the relativistic effects of the Dirac Brueckner Hartree Fock approach for finite nuclei the part of the Urbana 3 nucleon (3N) force is considered, which represents the enhancement of the small components of the Dirac…

Nuclear Theory · Physics 2015-10-07 A. H. Lippok , H. Müther

Three-nucleon (3N) forces are an indispensable ingredient for accurate few-body and many-body nuclear structure and reaction theory calculations. While the direct implementation of chiral 3N forces can be technically very challenging, a…

Nuclear Theory · Physics 2020-05-08 Jeremy W. Holt , Mamiya Kawaguchi , Norbert Kaiser

This work presents a comprehensive three-dimensional third-medium contact framework for modeling complex contact interactions in hyperelastic solids and pneumatically actuated systems. The proposed third-medium formulation embeds a…

Mathematical Physics · Physics 2025-12-04 Bing-Bing Xu , Tianju Xue , Peter Wriggers

Tetrahedral frame fields have applications to certain classes of nematic liquid crystals and frustrated media. We consider the problem of constructing a tetrahedral frame field in three dimensional domains in which the boundary normal…

Analysis of PDEs · Mathematics 2023-04-19 Dmitry Golovaty , Matthias Kurzke , Jose Alberto Montero , Daniel Spirn

In this paper we explore the possibility for solving the 3D Maxwell's equations in the presence of nonlinear and/or inhomogeneous material response. We propose using a hybrid approach which combines a bound- ary integral representation with…

Numerical Analysis · Mathematics 2019-08-07 Aihua Lin , Per Kristen Jakobsen

This work deals with braneworld scenarios obtained from N real scalar fields, whose dynamics is generalized to include higher order power in the derivative of the fields. For the scalar fields being driven by nonstandard dynamics, we show…

High Energy Physics - Theory · Physics 2013-08-06 D. Bazeia , A. S. Lobao , L. Losano , R. Menezes

We construct a relativistic metric description of MOND using the Palatini formalism following the \( f(\chi)=\chi^b \) description of \citet{mendozatula}. We show that in order to recover the non-relativistic MOND regime where, for circular…

General Relativity and Quantum Cosmology · Physics 2017-09-01 E. Barrientos , S. Mendoza

We give a very concise review of the group field theory formalism for non-perturbative quantum gravity, a higher dimensional generalisation of matrix models. We motivate it as a simplicial and local realisation of the idea of 3rd…

General Relativity and Quantum Cosmology · Physics 2012-03-27 Daniele Oriti

In this paper, we study the reliability of a three-state k-out-of-n:G system. We consider the situation where the system components are non-homogeneous Markov dependent, and we derive a closed-form formula for the system reliability,…

Probability · Mathematics 2025-01-17 Abdelmoumene Boulahia , Soheir Belaloui

In a recent publication, Cirigliano {\it et al.} [Phys. Rev. Lett. 135, 022501 (2025)] argue that three-nucleon forces (3NFs) involving short-range operators that couple two pions with two nucleons are enhanced beyond what is expected in…

Nuclear Theory · Physics 2026-04-28 E. Epelbaum , A. M. Gasparyan , J. Gegelia , D. Hog , H. Krebs

In the Light-Front Dynamics, the wave function equations and their numerical solutions, for two fermion bound systems, are presented. Analytical expressions for the ladder one-boson exchange interaction kernels corresponding to scalar,…

High Energy Physics - Theory · Physics 2011-07-19 M. Mangin-Brinet , J. Carbonell , V. A. Karmanov

The four-body Yakubovsky equations in a Three-Dimensional approach with the inclusion of the three-body forces is proposed. The four-body bound state with two- and three-body interactions is formulated in Three-Dimensional approach for…

Nuclear Theory · Physics 2008-05-25 M. R. Hadizadeh , S. Bayegan

It has been shown in the last few years that 3-form fields present viable cosmological solutions for inflation and dark energy with particular observable signatures distinct from those of canonical single scalar field inflation. The aim of…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-17 Bruno J. Barros , Nelson J. Nunes

The properties of dilute neutron matter are mostly determined by the s-wave two-body (2N) interaction, while three-body (3N) interactions are suppressed by the Pauli principle. In a previous work, we showed that it can be advantageous to…

Nuclear Theory · Physics 2025-03-18 Viswanathan Palaniappan , S. Ramanan , Michael Urban

We apply the modified triplectic formalism for quantizing several popular gauge models - non-abelian antisymmetric tensor field model, W2-gravity and two-dimensional gravity with dynamical torsion. The explicit solutions are obtained for…

High Energy Physics - Theory · Physics 2009-10-31 Bodo Geyer , Petr M. Lavrov , Pavel Yu. Moshin

We apply the light-front reduction of the Bethe-Salpeter equation to matrix elements of the electromagnetic current between bound states. Using a simple (1+1)-dimensional model to calculate form factors, we focus on two cases. In one case,…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. C. Tiburzi , G. A. Miller

We present a state-of-the-art theoretical approach for computing bound-state energies in muonic atoms, incorporating improved quantum electrodynamics effects and nuclear polarization corrections with a systematic assessment of theoretical…

Atomic Physics · Physics 2026-03-24 S. Rathi , I. A. Valuev , Z. Sun , M. Heines , P. Indelicato , B. Ohayon , N. S. Oreshkina
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