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We consider the one-dimensional Dirac equation with the most general relativistic contact interaction supported on two points symmetrically located with respect to the origin. In order to determine the shape of the interaction, we use a…

Quantum Physics · Physics 2026-05-05 Carlos A. Bonin , Manuel Gadella , José T. Lunardi , Luiz A. Manzoni

Resonant P-wave interactions can be described by a minimal zero-range model defined by a truncated effective range expansion, so that the only 2-body interaction parameters are the inverse scattering volume 1/a_P and the P-wave effective…

Quantum Gases · Physics 2012-08-20 Eric Braaten , P. Hagen , H. -W. Hammer , L. Platter

Reconfigurable Intelligent Surfaces (RISs) have attracted major attention in the last few years, thanks to their useful characteristics. An RIS is a nearly passive thin surface that can dynamically change the reradiated field, and can…

Signal Processing · Electrical Eng. & Systems 2022-02-24 V. Degli-Esposti , E. M. Vitucci , M. Di Renzo , S. Tretyakov

A separable potential formalism is used to describe the $\pi\pi$ and $K\overline{K}$ interactions in the scalar-isoscalar states in the energy range from the $\pi\pi$ threshold up to 1.4 GeV. Introduction of relativistic propagators into a…

High Energy Physics - Phenomenology · Physics 2009-09-25 R. Kaminski , L. Lesniak , J. -P. Maillet

Classical surfaces in phase space correspond to quantum states in Hilbert space. Subsystems specify factor spaces of the Hilbert space. An entangled state corresponds semiclassically to a surface that cannot be decomposed into a product of…

Quantum Physics · Physics 2007-05-23 A. M. Ozorio de Almeida

The $\pi N$ potential includes the t-channel exchanges of the scalar-mesons $\sigma$ and f_0, vector-meson $\rho$, tensor-mesons f_2 and f_2' and the Pomeron as well as the s- and u-channel exchanges of the nucleon N and the resonances…

Nuclear Theory · Physics 2009-11-11 H. Polinder , Th. A. Rijken

$N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the…

Quantum Gases · Physics 2024-10-09 Ludovic Pricoupenko

Path-independent (PI) quantum control has recently been proposed to integrate quantum error correction and quantum control [Phys. Rev. Lett. 125, 110503 (2020)], achieving fault-tolerant quantum gates against ancilla errors. Here we reveal…

Quantum Physics · Physics 2022-06-03 Wen-Long Ma , Shu-Shen Li , Liang Jiang

Generalized symmetries often appear in the form of emergent symmetries in low energy effective descriptions of quantum many-body systems. Non-invertible symmetries are a particularly exotic class of generalized symmetries, in that they are…

Strongly Correlated Electrons · Physics 2024-10-16 Arkya Chatterjee , Ömer M. Aksoy , Xiao-Gang Wen

We obtain the $s$- and $p$-wave low-energy scattering parameters for n$^3$H elastic scattering and the position of the $^4$H $J^\pi=1^-$ resonance using the pionless effective field theory at leading order. Results are extracted with three…

A generalization of the quantum inverse scattering method is proposed replacing the quantum group $RLL$ commutation relations of Lax operators by reflection equation type $RLRL$ commutation relations. Under some natural assumptions the most…

High Energy Physics - Theory · Physics 2008-02-03 C. Schwiebert

We describe a class of parity- and time-reversal-invariant topological states of matter which can arise in correlated electron systems in 2+1-dimensions. These states are characterized by particle-like excitations exhibiting exotic braiding…

Strongly Correlated Electrons · Physics 2011-06-07 Michael Freedman , Chetan Nayak , Kirill Shtengel , Kevin Walker , Zhenghan Wang

We study the behavior of a quantum particle confined to a hard--wall strip of a constant width in which there is a finite number $ N $ of point perturbations. Constructing the resolvent of the corresponding Hamiltonian by means of Krein's…

Condensed Matter · Physics 2020-01-27 P. Exner , R. Gawlista , P. Šeba , M. Tater

Coupled-channel $\pi K$ and $\eta K$ scattering amplitudes are determined by studying the finite-volume energy spectra obtained from dynamical lattice QCD calculations. Using a large basis of interpolating operators, including both those…

High Energy Physics - Phenomenology · Physics 2015-03-18 David J. Wilson , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

Reconfigurable intelligent surfaces (RISs) are an emerging technology for future wireless communication. The vast majority of recent research on RIS has focused on system level optimizations. However, developing straightforward and…

Signal Processing · Electrical Eng. & Systems 2021-08-24 Shanpu Shen , Bruno Clerckx , Ross Murch

Motivated by applications to acoustic imaging, the present work establishes a framework to analyze scattering for the one-dimensional wave, Helmholtz, Schr\"odinger and Riccati equations that allows for coefficients which are more singular…

Analysis of PDEs · Mathematics 2022-02-28 Peter C. Gibson

The restricted-path-integral (RPI) theory of continuous quantum measurements including the evolution of the measured systems and phenomenon of decoherence is reviewed. The measured system is considered as an open quantum system but without…

Quantum Physics · Physics 2007-05-23 Michael B. Mensky

The method of group quantization described in the preceeding paper I is extended so that it becomes applicable to some parametrized systems that do not admit a global transversal surface. A simple completely solvable toy system is studied…

General Relativity and Quantum Cosmology · Physics 2010-11-01 P. Hajicek , A. Higuchi , J. Tolar

A Wilsonian approach based on the Similarity Renormalization Group to $\pi\pi$ scattering is analyzed in the $JI=$00, 11 and 02 channels in momentum space up to a maximal CM energy of $\sqrt{s}=1.4$ GeV. We identify the Hamiltonian by means…

High Energy Physics - Phenomenology · Physics 2020-08-26 María Gómez-Rocha , Enrique Ruiz Arriola

The paper presents an interesting mathematical feedback between the formalism of coherent states and the field of integrals and integral representations involving special functions. This materializes through an easy and fast method to…

Quantum Physics · Physics 2024-08-21 Dušan Popov
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