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We consider solutions of the $2\times 2$ matrix Hamiltonian of physical systems within the context of the asymptotic iteration method. Our technique is based on transformation of the associated Hamiltonian in the form of the first order…

Quantum Physics · Physics 2009-11-13 R. Koc , O. Ozer , H. Tutunculer , R. G. Yildirim

We consider conformal defect solutions in four dimensional $N=2$ gauged supergravity. These solutions are constructed as a warped product of $AdS_2\times S^1$ over an interval with non-trivial electric and magnetic fields. We show for…

High Energy Physics - Theory · Physics 2019-05-01 Michael Gutperle , Matteo Vicino

This manuscript proposes a probabilistic framework for algorithms that iteratively solve unconstrained linear problems $Bx = b$ with positive definite $B$ for $x$. The goal is to replace the point estimates returned by existing methods with…

Optimization and Control · Mathematics 2014-10-16 Philipp Hennig

We present a simple method to obtain the solution of a few orbital problems: the Kepler problem, the modified Kepler problem by the addition of an inverse square potential and linear force.

Classical Physics · Physics 2021-12-17 M. Moriconi

In this paper we formulate the equilibrium equation of a beam made of graphene material subjected to some boundary conditions and acted upon by axial compression and nonlinear lateral constrains as a fourth-order nonlinear boundary value…

Materials Science · Physics 2015-10-08 Mohamed B. Elgindi , Dongming Wei , Tarek M. Elgindi

A new line clipping algorithm against convex polyhedron in E3 with an expected complexity O(1) is presented. The suggested approach is based on two orthogonal projections to E2 co-ordinate system and on pre-processing of the given…

Computational Geometry · Computer Science 2022-01-04 Vaclav Skala

The equations of motion of planar elliptic restricted three body problem are transformed to four decoupled Hill's equations. By using the Floquet theorem analytic solution to the oscillator equations with time dependent periodic…

Earth and Planetary Astrophysics · Physics 2021-05-26 B. Boldizsár , T. Kovács , J. Vanyó

In this work we propose a modified holographic softwall model, analytically solvable, to calculate the masses of lightest scalar glueball and its radial excitations and of higher spin glueball states for both even and odd spins. From these…

High Energy Physics - Phenomenology · Physics 2016-01-01 Eduardo Folco Capossoli , Henrique Boschi-Filho

We discuss the uniqueness or non-uniqueness problem of the decomposition of the gluon field into the physical and pure-gauge components, which is the basis of the recently proposed two physically inequivalent gauge-invariant decompositions…

High Energy Physics - Phenomenology · Physics 2015-06-15 Masashi Wakamatsu

The covariant spectator (or Gross) equations for the bound state of three identical spin 1/2 particles, in which two of the three interacting particles are always on shell, are developed and reduced to a form suitable for numerical…

Nuclear Theory · Physics 2008-11-26 Alfred Stadler , Franz Gross , Michael Frank

In this work, we consider a massive gauge boson field in AdS$_5$ dual to odd glueball states with twist-5 operator in 4D Minkowski spacetime. Introducing an IR cutoff we break the conformal symmetry of the boundary theory allowing us to…

High Energy Physics - Theory · Physics 2022-01-27 Eduardo Folco Capossoli , J. P. Morais Graça , Henrique Boschi-Filho

The spin susceptibility is an important probe to characterize the symmetry of the order parameter in unconventional superconductors. Among them, nonunitary triplet superconductors have attracted a lot of attention recently in the context of…

Superconductivity · Physics 2024-07-22 Thomas Bernat , Julia S. Meyer , Manuel Houzet

We reduce the computation of three point function of three spinning operators with arbitrary polarizations to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the…

High Energy Physics - Theory · Physics 2022-10-19 Carlos Bercini , Vasco Goncalves , Alexandre Homrich , Pedro Vieira

An approach is proposed which, given a family of linearly independent functions, constructs the appropriate biorthogonal set so as to represent the orthogonal projector operator onto the corresponding subspace. The procedure evolves…

Mathematical Physics · Physics 2007-05-23 laura Rebollo-Neira

A new, second-order solution in curvilinear coordinates is introduced for the relative motion of two spacecraft on eccentric orbits. The second-order equations for unperturbed orbits are derived in spherical coordinates with true anomaly as…

Dynamical Systems · Mathematics 2019-09-06 Matthew Willis , Kyle T. Alfriend , Simone D'Amico

We propose a new constructive approach to the solutions of the conservation condition for the three-point conformal correlation function in the Osborn-Petkou formulation generalized by the authors for higher spins. We propose for…

High Energy Physics - Theory · Physics 2025-09-11 Melik Karapetyan , Ruben Manvelyan

The Regge-Gribov model of the pomeron and odderon in the non-trivial transverse space is studied by the renormalization group technique. The single loop approximation is adopted. Five real fixed points are found and the high-energy…

High Energy Physics - Theory · Physics 2024-06-28 M. A. Braun , E. M. Kuzminskii , M. I. Vyazovsky

An irreducible canonical approach to second-order reducible second-class constraints is given. The procedure is exemplified on gauge-fixed three-forms.

Mathematical Physics · Physics 2008-12-24 C. Bizdadea , E. M. Cioroianu , S. O. Saliu , S. C. Sararu , O. Balus

We construct non dispersive two soliton solutions to the three dimensional gravitational Hartree equation whose trajectories asymptotically reproduce the nontrapped dynamics of the gravitational two body problem.

Analysis of PDEs · Mathematics 2008-11-25 Joachim Krieger , Yvan Martel , Pierre Raphael

Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras has proven a useful tool for color image processing, because it additionally contains…

Algebraic Geometry · Mathematics 2013-06-11 Roxana Bujack , Gerik Scheuermann , Eckhard Hitzer