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An analysis of the Wigner function for identical particles is presented. Four situations have been considered. i) A scattering process between two indistinguishable electrons described by a minimum uncertainty wave packets showing the…

Other Condensed Matter · Physics 2007-05-23 Emiliano Cancellieri , Paolo Bordone , Carlo Jacoboni

Elastic and inelastic properties of weakly bound s- and p-wave molecules of fermionic atoms that collide with a third atom are investigated. Analysis of calculated collisional properties of s-wave dimers of fermions in different spin states…

Atomic Physics · Physics 2009-11-13 J. P. D'Incao , B. D. Esry , Chris H. Greene

The scattering of Dirac fermions on the sine-Gordon kink is studied both analytically and numerically. To achieve invariance with respect to a discrete symmetry, the sine-Gordon model is treated as a nonlinear $\sigma$-model with a circular…

High Energy Physics - Theory · Physics 2023-01-24 A. Yu. Loginov

At ultracold temperatures, the Pauli exclusion principle suppresses collisions between identical fermions. This has motivated the development of atomic clocks using fermionic isotopes. However, by probing an optical clock transition with…

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

Atomic Physics · Physics 2022-09-20 A. S. Baltenkov , I. Woiciechowski

We examine the influence of the Pauli exclusion principle on the scattering properties of composite bosons (cobosons) made of two fermions, such as the exciton quasiparticle. The scattering process incorporates boson-phonon interactions…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 A. Thilagam

It is well-known that the magnetic Feshbach resonances of cold atoms are sensitive to the magnitude of the external magnetic field. Much less attention has been paid to the direction of such a field. In this work we calculate the scattering…

Quantum Gases · Physics 2014-06-25 Shi-Guo Peng , Shina Tan , Kaijun Jiang

We report on experiments investigating the collisional properties of atoms at ultralow collision energies using an all-optical atom collider. By using a pair of optical tweezers, we can manipulate two ultracold atom clouds and collide them…

Ultracold atomic Fermi gases in two-dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a…

Quantum Gases · Physics 2017-10-31 Alexander Galea , Tash Zielinski , Stefano Gandolfi , Alexandros Gezerlis

All matter is made up of fermions -- one of the fundamental type of particles in nature. Fermions follow the Pauli exclusion principle, stating that two or more identical fermions cannot occupy the same quantum state. Antisymmetry of the…

Quantum Physics · Physics 2023-07-26 Lucas Hackl , Dayang Li , Nika Akopian , Matthias Christandl

Identical particles exhibit correlations even in the absence of inter-particle interaction, due to the exchange (anti)symmetry of the many-particle wavefunction. Two fermions obey the Pauli principle and anti-bunch, whereas two bosons favor…

Quantum Physics · Physics 2012-09-13 Malte C. Tichy , Markus Tiersch , Florian Mintert , Andreas Buchleitner

The Pauli exclusion principle is a fundamental law underpinning the structure of matter. Due to their anti-symmetric wave function, no two fermions can occupy the same quantum state. Here, we report on the direct observation of the Pauli…

We present a multichannel model for elastic interactions, comprised of an arbitrary number of coupled finite square-well potentials, and derive semi-analytic solutions for its scattering behavior. Despite the model's simplicity, it is…

Atomic Physics · Physics 2018-12-11 Nirav P. Mehta , Kaden R. A. Hazzard , Christopher Ticknor

The behavior of ultracold atomic gases depends crucially on the two-body scattering properties of these systems. We develop a multichannel scattering theory for atom-atom collisions in quasi-one-dimensional (quasi-1D) geometries such as…

Condensed Matter · Physics 2009-11-10 Brian E. Granger , D. Blume

We develop a diagrammatic approach for solving few-body problems in heteronuclear fermionic mixtures near a narrow interspecies Feshbach resonance. We calculate s-, p-, and d-wave phaseshifts for the scattering of an atom by a weakly-bound…

Quantum Gases · Physics 2011-12-01 J. Levinsen , D. S. Petrov

We show that the fermionic exclusion principle in scattering problems manifests itself through constraints implied by unitarity and the optical theorem. Configurations that formally allow identical fermions to appear in the same quantum…

High Energy Physics - Phenomenology · Physics 2026-05-01 Peter Matak

We derive analytical solutions for the system of two ultracold spin-polarized fermions interacting in p wave and confined in an axially symmetric harmonic trap. To this end we utilize p-wave pseudopotential with an energy-dependent…

Atomic Physics · Physics 2013-05-29 Zbigniew Idziaszek

The article discusses the correctness of the assumption about the similarity of molecular continuum electron functions with wave functions in electron-atom scattering. The elastic scattering of slow particles by pair of non-overlapping…

Atomic Physics · Physics 2022-08-01 A. S. Baltenkov , I. Woiciechowski

Nonlinear effects could play a crucial role in addressing optical nonreciprocal behaviors in scattering media. Such behaviors are, however, typically observed within a single transmission channel and predominantly in media with fixed…

Optics · Physics 2025-04-07 Xiao Liu , M. Artoni , G. C. La Rocca , Jin-Hui Wu

General formulas describing the multiple scattering of electron by polyatomic molecules have been derived within the framework of the model of non-overlapping atomic potentials. These formulas are applied to different carbon molecules, both…

Atomic Physics · Physics 2018-09-27 A. S. Baltenkov , S. T. Manson , A. Z. Msezane
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