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We generalize the Gubser solution of viscous hydrodynamics by including the finite density effect and analytically compute the flow harmonics $v_n$. We explicitly show how $v_n$ and their viscous corrections depend on the chemical…

High Energy Physics - Phenomenology · Physics 2015-12-09 Yoshitaka Hatta , Akihiko Monnai , Bo-Wen Xiao

It has recently been shown that spherically symmetric potentials of finite range are uniquely determined by the part of their phase shifts at a fixed energy level $k^2>0$. However, numerical experiments show that two quite different…

Mathematical Physics · Physics 2007-05-23 Alexander G. Ramm , Semion Gutman

In this work, we present the analytic treatment of the Fourier Transform (FT) of the Gravitational Wave (GW) signal from a pulsar including spin down corrections in a parametrized model discussed by Brady et. al. The formalism lends itself…

Astrophysics · Physics 2007-05-23 S. R. Valluri , F. A. Chishtie , A. Vajda

Bound, antibound and resonance states are associated to poles in the on-shell partial wave amplitudes. We show here that from the residues of the pole a rank 1 projection operator associated with any of these states can be extracted, in…

High Energy Physics - Phenomenology · Physics 2016-05-11 Zhi-Hui Guo , J. A. Oller

We compute the waves propagating on the compact surface of constant negative curvature and genus 2. We adopt a variational approach using finite elements. We have to implement the action of the fuchsian group by suitable boundary conditions…

Numerical Analysis · Mathematics 2010-10-12 Agnes Bachelot-Motet

We theoretically analyze the influence of the Gouy phase shift on the nonlinear interaction between waves of different frequencies. We focus on $\chi^{(2)}$ interaction of optical fields, e.g. through birefringent crystals, and show that…

Optics · Physics 2009-11-13 Nico Lastzka , Roman Schnabel

We have developed a systematic approach to calculate the correlation function for spin-1/2 particles, incorporating both central and noncentral components of the interparticle interaction. This is achieved by extending the variable phase…

Nuclear Theory · Physics 2026-05-13 Renjie Zou , Sheng Xiao , Zhi Qin , Zhigang Xiao

In this papwe we consider an effective role of the potential of the wave equations with/without damping on the L^{2}-estimate of the solution itself. In the free wave equation case it is known that the L^{2}-norm of the solution itself…

Analysis of PDEs · Mathematics 2022-11-08 Ryo Ikehata

First we recall the definition of locally residual currents and their basic properties. We prove in this first section a trace theorem, that we use later. Then we define the Abel-Radon transform of a current ${\cal R}(\alpha)$, on a…

Complex Variables · Mathematics 2010-02-24 Bruno Fabre

A many-body wave function is approximated by a product of two functions: the wave function $\phi$ depending on the particle coordinates and the function $\chi$ depending only on the value of interparticle interaction potential. For the…

Quantum Physics · Physics 2008-09-10 V. M. Tapilin

We prove that certain nonlocal functionals defined on partitions made of measurable sets Gamma-converge to a local functional modeled on the perimeter in the sense of De Giorgi. Those nonlocal functionals involve generalized surface tension…

Analysis of PDEs · Mathematics 2025-06-26 Thomas Gabard , Vincent Millot

We propose a novel nonlocal spin-1/2 theory in which the form factor depends on the Dirac operator rather than on the d'Alembert operator. In this scenario, we explore some classical and quantum aspects of this new theory. At the classical…

High Energy Physics - Theory · Physics 2026-02-23 J. R. Nascimento , Gonzalo J. Olmo , A. Yu. Petrov , P. J. Porfírio , Ramires N. da Silva

Effective interactions that fit the low energy p-$^3$He experimental data have been constructed. They are based on the Resonating Group Method and a modified Orthogonality Condition Model in which Pauli and partly Pauli forbidden states are…

Nuclear Theory · Physics 2007-05-23 S. Gojuki , S. Oryu , S. A. Sofianos

We consider periodic waves in miscible two-component Bose-Einstein condensates with repulsive nonlinear interactions constants. Exact one-phase solution is found for the case when all these constants are equal to each other (i.e., for…

Quantum Gases · Physics 2013-10-08 A. M. Kamchatnov

We incorporate non-local gravitational self-energy, motivated by string-inspired T-duality, into the Schr\"odinger-Newton equation. In this framework spacetime has an intrinsic non-locality, rendering the standard linear superposition…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Kimet Jusufi , Douglas Singleton , Francisco S. N. Lobo

Unitary recordings in freely-moving pulse weakly electric fish suggest spike timing encoding of electrosensory signals

Neurons and Cognition · Quantitative Biology 2020-01-28 Alejo Rodríguez-Cattáneo , Ana Carolina Pereira , Pedro Aguilera , Angel Caputi

Gyrokinetic simulations of the fishbone instability in DIII-D tokamak plasmas find that self-generated zonal flows can dominate the nonlinear saturation by preventing coherent structures from persisting or drifting in the energetic particle…

A Newton-Sabatier fixed energy inversion scheme has been used to equate inherently non-local p-${}^{12}$C potentials at a variety of energies to pion threshold, with exactly phase equivalent local ones. Those energy dependent local…

Nuclear Theory · Physics 2009-11-06 A. Lovell , K. Amos

It is shown that the system efficiency of a self-propelled flexible body is ill-defined unless one considers the concept of quasi-propulsive efficiency, defined as the ratio of the power needed to tow a body in rigid-straight condition over…

Fluid Dynamics · Physics 2015-08-06 A. P. Maertens , M. S. Triantafyllou , D. K. P. Yue

Using the results on the electromagnetic pion Form Factor (FF) obtained in the $O(\alpha_s)$ QCD sum rules with non-local condensates \cite{BPS09} we determine the effective continuum threshold for the local duality approach. Then we apply…

High Energy Physics - Phenomenology · Physics 2010-04-22 Alexander P. Bakulev