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In this paper we present the solution of local parametric resonance equation in terms of parabolic cylinder functions and solve the scattering problem for this equation.

Mathematical Physics · Physics 2008-02-21 Oleg Kiselev , Yulia Bagderina , Sergei Glebov

We report numerical simulation result of a recently proposed \{P. Bruno, Phys. Rev. Lett {\bf 79}, 4593, (1997)\} approach to perform magnetic scanning tunneling microscopy with a two terminal non-magnetic tip. It is based upon the spin…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. P. Pareek , Patrick Bruno

We perform an analytical study of the scattering matrix and bound states in problems with many physical coupled channels. We establish the relationship of the couplings of the states to the different channels, obtained from the residues of…

High Energy Physics - Phenomenology · Physics 2010-04-06 D. Gamermann , J. Nieves , E. Oset , E. Ruiz Arriola

Approximate scattering functions for polydisperse ionic colloidal fluids are obtained by a corresponding states approach. This assumes that all pair correlation functions $g_{\alpha \beta}(r)$ of a polydisperse fluid are conformal to those…

Statistical Mechanics · Physics 2009-10-31 Domenico Gazzillo , Achille Giacometti , F. Carsughi

A simple model coupling a one-dimensional beam particle to a one-dimensional harmonic oscillator is used to explore complementarity and entanglement. This model, well-known in the inelastic scattering literature, is presented under three…

Quantum Physics · Physics 2023-09-26 David Kordahl

The persistent current in a clean mesoscopic ring with ballistic electron motion is calculated. The particle dynamics inside a ring is assumed to be chaotic due to scattering at the surface irregularities of atomic size. This allows one to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. V. Samokhin

In this paper, we propose a method to calculate the exact Taylor series of the scattering matrix in general multiterminal tight-binding systems to arbitrary order N, which allows us to find the Taylor expansion of Landauer conductance in…

Mesoscale and Nanoscale Physics · Physics 2020-06-15 Carlos Ramirez , Mauricio J. Rodriguez , Bryan D. Gomez

We propose a microscopic description for the polarization from the first principle through the spin-orbit coupling in particle collisions. The model is different from previous ones based on local equilibrium assumptions for the spin degree…

Nuclear Theory · Physics 2019-12-11 Jun-jie Zhang , Ren-hong Fang , Qun Wang , Xin-Nian Wang

Space-time modulation of material parameters offers new possibilities for manipulating elastic wave propagation by exploiting time-reversal symmetry breaking. Here we propose and validate a general framework based on the multiple scattering…

Applied Physics · Physics 2023-12-08 Xingbo Pu , Alessandro Marzani , Antonio Palermo

We investigate boundary multifractality of critical wave functions at the Anderson metal-insulator transition in two-dimensional disordered non-interacting electron systems with spin-orbit scattering. We show numerically that multifractal…

Disordered Systems and Neural Networks · Physics 2008-03-27 Hideaki Obuse , Arvind R. Subramaniam , Akira Furusaki , Ilya A. Gruzberg , Andreas W. W. Ludwig

Quantum-chemical calculations aimed at deriving magnetic coupling constants in exchange-coupled spin clusters commonly utilize a broken-symmetry (BS) approach. This involves calculating several distinct collinear spin configurations,…

Strongly Correlated Electrons · Physics 2023-10-23 Shadan Ghassemi Tabrizi

This paper studies a non-singular coupling scheme for solving the acoustic and elastic wave scattering problems and its extension to the problems of Laplace and Lam\'e equations and the problem with a compactly supported inhomogeneity is…

Numerical Analysis · Mathematics 2023-12-27 Xiaojuan Liu , Maojun Li , Tao Yin

A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. Positive…

Nuclear Theory · Physics 2007-05-23 K. Amos , S. Karataglidis , P. Fraser , D. van der Knijff , J. P. Svenne , L. Canton , G. Pisent

It is possible to fabricate mesoscopic structures where at least one of the dimensions is of the order of de Broglie wavelength for cold electrons. By using semiconductors, composed of more than one material combined with a metal slip-gate,…

Quantum Physics · Physics 2017-08-23 B. Nilsson

Strongly interacting electrons in clean two-dimensional devices are theorized to exhibit many distinct transport regimes, such as ballistic, hydrodynamic, or diffusive. Realistic samples often lie in crossover regimes between these…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Jack H. Farrell , Andrew Lucas

A theoretical study of the low-energy scattering properties of two aligned identical bosonic and fermionic dipoles in the presence of isotropic spin-orbit coupling (SOC) is presented. A general treatment of particles with arbitrary…

Quantum Gases · Physics 2018-05-02 Jia Wang , Christiaan R. Hougaard , Brendan C. Mulkerin , Xia-Ji Liu

A semiclassical quantization condition is derived for Landau levels in general spin-orbit coupled systems. This generalizes the Onsager quantization condition via a matrix-valued phase which describes spin dynamics along the classical…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Tommy Li , Baruch Horovitz , Oleg P. Sushkov

We present a new approach to real-space multiple-scattering theory for molecules and clusters, based on the two-potential (distorted-wave) Lippmann-Schwinger equation formalism. Our approach uses a recently developed form [D. L. Foulis,…

Mathematical Physics · Physics 2008-06-04 D. L. Foulis

The Schr\"{o}dinger equation, in hyperspherical coordinates, is solved in closed form for a system of three particles on a line, interacting via pair delta functions. This is for the case of equal masses and potential strengths. The…

Mathematical Physics · Physics 2015-06-26 A. Amaya-Tapia , G. Gasaneo , S. Ovchinnikov , J. H. Macek , S. Y. Larsen

We develop a method for computing the scattering of flexural waves off of a periodic wall or a periodic line of scatterers. These waves model the fluctuations of thin plates with periodic clamped, supported, or free edges. We use the…

Numerical Analysis · Mathematics 2026-03-04 Fruzsina Agocs , Tristan Goodwill , Jeremy G. Hoskins , Peter Nekrasov