Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0110116

The s-wave implosion and explosion of free particles

Iwo Białynicki‐Birula, M. A. Cirone, Joachim Dahl, Mikhail Vladimirovich Fedorov, Wolfgang P. Schleich

Published Oct 19, 2001• 1 citation
arXivHTMLPDF

Abstract

A free quantum particle in two dimensions with vanishing angular momentum (s-wave) in the form of a ring-shaped wave packet feels an attractive force towards the center of the ring, leading first to an implosion followed by an explosion.
DOI
10.48550/arxiv.quant-ph/0110116

Related papers

In- and Outbound Spreading of a Free-Particle s -Wave

Iwo Białynicki‐Birula, M. A. Cirone, Joachim Dahl +2 more

We show that a free quantum particle in two dimensions with zero angular momentum (s wave) in the form of a ring-shaped wave packet feels an attraction towards the center of the ring, leading first to a contraction followed by an expansion. An experiment to demonstrate this effect is also outlined.

Physical Review Letters•Jul 23, 2002•43 citations

Simple Examples of Position-Momentum Correlated Gaussian Free-Particle Wave Packets in One Dimension With the General Form of the Time-Dependent Spread in Position

Richard W. Robinett, M. A. Doncheski, Lee C. Bassett

arXiv:quant-ph/0502097•Foundations of Physics Letters•Aug 8, 2005•21 citations

Quantum Shock Wave Discontinuities in the Dispersion of Free Gaussian Wave Packets

Babur M. Mirza

•May 31, 2015•0 citations

Huygens' principle, the free Schrodinger particle and the quantum anti-centrifugal force

M. A. Cirone, Joachim Dahl, Mikhail Vladimirovich Fedorov +2 more

Huygens' principle following from the d'Alembert wave equation is not valid in two-dimensional space. A Schrodinger particle of vanishing angular momentum moving freely in two dimensions experiences an attractive force - the quantum anti-centrifugal force - towards its center. We connect these two phenomena by comparing and contrasting the radial propagators of the d'Alembert wave equation and of a free non-relativistic quantum mechanical particle in two and three dimensions.

•Aug 17, 2001•12 citations

Classically accelerating solenoidal wave packets in two dimensions

Argha Mondal, Yishuai Xu, L. Andrew Wray +1 more

The wave function for a quantum mechanical particle in a circular box can be prepared in shape-preserving wave packets that rotate at constant angular speed around the center of the box. Some of these rotating wave packets correspond to classical trajectories undergoing uniform circular motion through the force-free interior of the box. This apparent violation of Ehrenfest's theorem is resolved by considering the force exerted on the particle's wave packet by the enclosing wall. Remarkably, the wave packet continues to rotate even after the wall potential is removed. We show that this force-free finite-energy rotating state actually corresponds to classical motion with constant velocity, again in agreement with Ehrenfest's theorem. Even so, the classical angular momentum carried by the rotating states poses a conceptual challenge because it differs from its quantum mechanical angular momentum, and indeed can have the opposite sign.

Physical Review A•Dec 26, 2018•6 citations

Quantum Dynamics of Atom-Molecule System Affected by s-Wave Scattering

王璞玉 WANG Pu-yu, 杨国建 Yang Guojian

Acta Optica Sinica•Jan 1, 2009•0 citations
The wave function for a quantum mechanical particle in a circular box can be prepared in shape-preserving wave packets that rotate at constant angular speed around the center of the box. Some of these rotating wave packets correspond to classical trajectories undergoing uniform circular motion through the force-free interior of the box. This apparent violation of Ehrenfest's theorem is resolved by considering the force exerted on the particle's wave packet by the enclosing wall. Remarkably, the wave packet continues to rotate even after the wall potential is removed. We show that this force-free finite-energy rotating state actually corresponds to classical motion with constant velocity, again in agreement with Ehrenfest's theorem. Even so, the classical angular momentum carried by the rotating states poses a conceptual challenge because it differs from its quantum mechanical angular momentum, and indeed can have the opposite sign.