The levinson theorem

ZQ Ma - Journal of Physics A: Mathematical and General, 2006 - iopscience.iop.org
The Levinson theorem is a fundamental theorem in quantum scattering theory, which shows
the relation between the number of bound states and the phase shift at zero momentum for …

Gravitational quantum states of Antihydrogen

AY Voronin, P Froelich, VV Nesvizhevsky - Physical Review A—Atomic …, 2011 - APS
We present a theoretical study of the motion of the antihydrogen atom (H¯) in the
gravitational field of Earth above a material surface. We predict that the H¯ atom, falling in …

Casimir-Polder shifts on quantum levitation states

PP Crépin, G Dufour, R Guérout, A Lambrecht… - Physical Review A, 2017 - APS
An ultracold atom above a horizontal mirror experiences quantum reflection from the
attractive Casimir-Polder interaction, which holds it against gravity and leads to quantum …

Low-energy expansion of the Jost function for long-range potentials

K Willner, FA Gianturco - Physical Review A—Atomic, Molecular, and Optical …, 2006 - APS
The low-energy behavior of the partial-wave Jost function for scattering by a long-range 1∕
rs (s> 2) central potential is investigated analytically using the linear variant of the variable …

Modified effective-range theory for low energy-N2 scattering

Z Idziaszek, G Karwasz - The European Physical Journal D, 2009 - Springer
We analyze the low-energy eN 2 collisions within the framework of the modified-effective
range theory (MERT) for the long-range potentials, developed by O'Malley et al.[J. Math …

Quantum reflection of a cold antihydrogen wave packet

PP Crépin - 2019 - theses.hal.science
The framework of this thesis is the GBAR collaboration at CERN, which aims to measure the
free fall acceleration of antimatter. In this thesis, we study the quantum reflection of the …

Extracting information about few-body breakup thresholds from high-energy collisions

RO Barrachina, PA Macri - Few-body systems, 2004 - Springer
We show that the analysis of high-energy collisions provides an alternative, and sometimes
advantageous, method of gathering information on a breakup system at threshold. We …

Extracting low-energy electron–atom scattering parameters from ionic measurements

P Macri, RO Barrachina - Nuclear Instruments and Methods in Physics …, 2003 - Elsevier
We analyze different methods to extract from ionic measurements electron–atom scattering
parameters, such as the scattering length. Different generalizations of O'Malley et al.'s …

Threshold effects in the ionization of atoms by positron impact

RO Barrachina, J Fiol, P Macri - … and Methods in Physics Research Section …, 2008 - Elsevier
We employ different theoretical models, both classical and quantum-mechanical, to explore
the recoil-ion momentum distribution in positron–atom collisions. We pay special attention to …

A Jost function description of zero-energy resonance and transparency effects in elastic collisions

PA Macri, RO Barrachina - … of Physics B: Atomic, Molecular and …, 2013 - iopscience.iop.org
Under certain circumstances, an elastic cross section at very low energies could differ by
orders of magnitude above or below any reasonable estimate. The first case occurs near a …