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A complete set of commuting observables for the Calogero-Gaudin system is diagonalized, and the explicit form of the corresponding eigenvalues and eigenfunctions is derived. We use a purely algebraic procedure exploiting the co-algebra…

solv-int · Physics 2015-06-26 F. Musso , O. Ragnisco

Convolution powers of $1/x$ are transformed into functions $f_n$, which satisfy a simple recurrence relation. Solutions are characterized and analyzed.

Combinatorics · Mathematics 2022-03-21 Andreas B. G. Blobel

In this paper, the Green's function and decomposition technique is proposed for solving the coupled Lane-Emden equations. This approach depends on constructing Green's function before establishing the recursive scheme for the series…

Numerical Analysis · Mathematics 2020-05-25 Randhir Singh

In this paper we study resolutions which arise as iterated mapping cones.

Commutative Algebra · Mathematics 2007-05-23 Juergen Herzog , Yukihide Takayama

We consider the problem of recovering the initial value, from the trace on the light cone, of the solution of an initial value problem for the wave equation. When the space is odd dimensional, we show that the map from the initial value to…

Analysis of PDEs · Mathematics 2018-05-23 Rakesh , Tao Yuan

We formulate a systematic construction of commuting quantum traces for reflection algebras. This is achieved by introducing two sets of generalized reflection equations with associated consistent fusion procedures. Products of their…

Quantum Algebra · Mathematics 2008-11-26 Jean Avan , Anastasia Doikou

A symmetry-preserving regularization procedure for dealing with the contact interaction model is proposed in this work. This regularization procedure follows a series of consistency conditions which are necessary to maintain gauge symmetry.…

High Energy Physics - Phenomenology · Physics 2023-02-01 Zanbin Xing , Lei Chang

The present status of Kaon physics is summarized from a theory point of view. Focus is laid on $\Delta S=2$, $\Delta S=1$ as well as on rare Kaon decays, where progress has been made for instance in the case of $\varepsilon_K$ and $K_S\to…

High Energy Physics - Phenomenology · Physics 2023-03-22 Jason Aebischer

We calculate radiative corrections to the flavor-changing neutral current process K --> pi l+ l-, both for charged and neutral kaon decays. While the soft-photon approximation is shown to work well for the muon channels, we discuss the…

High Energy Physics - Phenomenology · Physics 2010-11-23 Bastian Kubis , Rebekka Schmidt

We examined the asymmetric deformation in collisions and the transition conditions from oblique to normal collisions and non-collisions to address the problem of oblique collisions of rigid bodies in classical mechanics. A closed solution…

Classical Physics · Physics 2025-11-25 Xueqiang Wang , Qi Su , Siping Li

We investigate the thermal kaon process,in which kaons are thermally produced via nucleon-nucleon collisions.This process is relevant to nonequilibrium dynamics of kaon condensation inside neutron stars.The reaction rates for these…

Nuclear Theory · Physics 2009-10-31 Takumi Muto , Toshitaka Tatsumi , Naoki Iwamoto

Some iterative techniques are defined to solve reversible inverse problems and a common formulation is explained. Numerical improvements are suggested and tests validate the methods.

Optimization and Control · Mathematics 2011-12-06 Sébastien Marinesque

In this work, we will prove a uniqueness result for Calder\'on's inverse problem via some integral representation formulas for solutions of the Vekua equation in the framework of Clifford analysis.

Analysis of PDEs · Mathematics 2026-01-27 Briceyda B. Delgado

Using the general framework of quantum field theory, we derive basic equations of quantum field kinetics. The main goal of this approach is to compute the observables associated with a quark-gluon plasma at different stages of its…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Makhlin

The kinetic energy of solid neon is calculated by a path-integral Monte Carlo approach with a refined Trotter- and finite-size extrapolation. These accurate data present significant quantum effects up to temperature T=20 K. They confirm…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Alessandro Macchi , Gaia Pedrolli , Valerio Tognetti , Ruggero Vaia

Calculating molecular properties using quantum devices can be done through the quantum linear response (qLR) or, equivalently, the quantum equation of motion (qEOM) formulations. Different parameterizations of qLR and qEOM are available,…

We demonstrate that the complete factorization of equations of motion into first-order differential equations can be obtained for real and complex scalar field theories with non-canonical dynamics.

High Energy Physics - Theory · Physics 2017-12-18 D. Bazeia , Diego R. Granado , Elisama E. M. Lima

The problem of calculating multicanonical parameters recursively is discussed. I describe in detail a computational implementation which has worked reasonably well in practice.

High Energy Physics - Lattice · Physics 2016-09-01 Bernd A. Berg

At present, the main topics addressed by kaon physics are the unitarity test of CKM matrix via precision measurements of the Cabibbo angle as well as precision tests of discrete symmetries: in particular, study of possible CPT violations in…

High Energy Physics - Experiment · Physics 2007-05-23 B. Sciascia

Recent lattice calculations of hadron structure functions are described.

High Energy Physics - Lattice · Physics 2008-11-26 M. Goeckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller
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