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By following the trajectories of quantum particles inside a periodic lattice and preserving their classical probabilities for reflection, transmission and absorption at each lattice plane, classical scattering outcomes are obtained.…

Materials Science · Physics 2007-05-23 Sérgio L. Morelhão , Luis H. Avanci

A semiclassical analysis of an optical potential cross section is presented. The cross section considered is characterized by the appearance of an Airy-like pattern. This pattern is similar to that which is present in many cross sections,…

Nuclear Theory · Physics 2009-11-06 R. Anni

We present a classical algorithm for approximating the expectation values of observables in linear-optical circuits with arbitrary product input states, achieving additive-error accuracy. This result indicates that current applications of…

Quantum Physics · Physics 2025-11-17 Youngrong Lim , Changhun Oh

We study the dynamics of a one-dimensional classical particle in a space and time dependent potential with randomly chosen parameters. The focus of this work is a quasi-periodic potential, which only includes a finite number of Fourier…

Statistical Mechanics · Physics 2015-06-19 Yaniv Tenenbaum Katan , Tal Kachman , Shmuel Fishman , Avy Soffer

Quasiprobability representation is an important tool for analyzing a quantum system, such as a quantum state or a quantum circuit. In this work, we propose classical algorithms specialized for approximating outcome probabilities of a linear…

Quantum Physics · Physics 2023-12-19 Youngrong Lim , Changhun Oh

For relativistic energies the small angle classical cross section for scattering on a Coulomb potential agrees with the first Born approximation for quantum cross section for scalar particle only in the leading term. The disagreement in…

High Energy Physics - Theory · Physics 2009-11-13 A. I. Nikishov

The extraction of hadron-hadron scattering parameters from lattice data by using the L\"uscher approach becomes increasingly complicated in the presence of inelastic channels. We propose a method for the direct extraction of the complex…

High Energy Physics - Lattice · Physics 2016-06-29 Dimitri Agadjanov , Michael Doring , Maxim Mai , Ulf-G. Meißner , Akaki Rusetsky

We construct a microscopic optical potential including breakup effects for elastic scattering of weakly-binding projectiles within the Glauber model, in which a nucleon-nucleus potential is derived by the $g$-matrix folding model. The…

Nuclear Theory · Physics 2019-04-23 Shoya Ogawa , Ryo Horinouchi , Masakazu Toyokawa , Takuma Matsumoto

A simple position probability density formulation is presented for the motion of a particle in a spherically symmetric potential. The approach provides an alternative to Newtonian methods for presentation in an elementary course, and…

Physics Education · Physics 2007-05-23 Lorenzo J. Curtis , David G. Ellis

Classical shadow tomography is a sample-efficient technique for characterizing quantum systems and predicting many of their properties. Circuit cutting is a technique for dividing large quantum circuits into smaller fragments that can be…

Quantum Physics · Physics 2024-05-21 Daniel T. Chen , Zain H. Saleem , Michael A. Perlin

A microscopic optical potential based on a chiral model is used as a starting point for studying kaonic atoms levels. We add to this potential a phenomenological part fitted to the experimentally known shifts and widths of kaonic levels.…

Nuclear Theory · Physics 2009-11-07 C. Garcia-Recio , J. Nieves , E. Oset , A. Ramos

By analogy with heavy ion collisions, which can be modelled by a classical hydrodynamics, it is proposed that the differential cross section for collisions of smaller nuclei can be calculated from the classical, numerical scattering data…

Nuclear Theory · Physics 2025-05-20 N. S. Manton

The microscopic nucleus-nucleus optical potential is constructed basing on two patterns for real and imaginary parts, each calculated in the framework of microscopic models and multiplied by two normalizing factors, the free parameters,…

Nuclear Theory · Physics 2007-05-23 K. M. Hanna , K. V. Lukyanov , V. K. Lukyanov , B. Slowinski , E. V. Zemlyanaya

We survey some results that provide different versions of classical results through different summability methods. Specifically, in order to adapt such classical results, we analyze which properties should satisfy the summability methods.…

The optical model is a fundamental tool to describe scattering processes in nuclear physics. The basic input is an optical model potential, which describes the refraction and absorption processes more or less schematically. Of special…

General Physics · Physics 2025-05-09 Richard Herrmann

We describe an automated method for assigning the most likely physical parameters to the components of an eclipsing binary (EB), using only its photometric light curve and combined color. In traditional methods (e.g. WD and EBOP) one…

Astrophysics · Physics 2016-08-30 Jonathan Devor , David Charbonneau

It is first shown that when the Schr\"{o}dinger equation for a wave function is written in the polar form, complete information about the system's {\em quantum-ness} is separated out in a single term $Q$, the so called `quantum potential'.…

Quantum Physics · Physics 2018-01-09 Partha Ghose

Post-exponential decay of the probability density of a quantum particle leaving a trap can be reproduced accurately, except for interference oscillations at the transition to the post-exponential regime, by means of an ensemble of classical…

Quantum Physics · Physics 2015-05-18 E. Torrontegui , J. G. Muga , J. Martorell , D. W. L. Sprung

Interfacing quantum and classical processors is an important subroutine in full-stack quantum algorithms. The so-called "classical shadow" method efficiently extracts essential classical information from quantum states, enabling the…

Quantum Physics · Physics 2025-09-11 Shuowei Ma , Junyu Liu

We determine the uniqueness on starlike obstacles by using the cross section data. We see cross section data as spectral measure in polar coordinate at far field. Cross section scattering data suffice to give the local behavior of the wave…

Analysis of PDEs · Mathematics 2010-11-15 Lung-Hui Chen
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