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A looped animation of a wave packet propagating without dispersion: the envelope is maintained even as the phase changes. In physics, a wave packet (also known as a wave train or wave group) is a short burst of localized wave action that travels as a unit, outlined by an envelope.
"Wave‐packet dynamics within the multiconfiguration Hartree framework: General aspects and application to NOCl". The Journal of Chemical Physics. 97 (5).
The atomic wave packet evolves classically for a short period of time and reappears after a classical period. However, after a few classical periods it spreads all over the available space following wave mechanics and collapses. Due to quantum dynamics it rebuilds itself after a certain period of time.
Solitary wave in a laboratory wave channel. In mathematics and physics, a soliton is a nonlinear, self-reinforcing, localized wave packet that is strongly stable, in that it preserves its shape while propagating freely, at constant velocity, and recovers it even after collisions with other such localized wave packets.
Propagation of a wave packet demonstrating a phase velocity greater than the group velocity. This shows a wave with the group velocity and phase velocity going in different directions. The group velocity is positive, while the phase velocity is negative. [1] The phase velocity of a wave is the rate at which the wave propagates in any medium.
Wyatt, Robert Eugene; Corey J. Trahan (2005). Quantum dynamics with trajectories.Springer. ISBN 978-0-387-22964-5.; Robert E. Wyatt, Eric R. Bittner: Quantum wave packet dynamics with trajectories: Implementation with adaptive Lagrangian grids of the amplitude of the wave function, Journal of Chemical Physics, vol. 113, no. 20, 22 November 2000,
In fluid dynamics, the Davey–Stewartson equation (DSE) was introduced in a paper by A. Davey and Keith Stewartson to describe the evolution of a three-dimensional wave-packet on water of finite depth.
A simple mechanical description of particle dynamics provides a quantitative estimate of the synchronization of particles with the wave. [9]: Eq. 1 A more rigorous approach shows the strongest synchronization occurs for particles with a velocity in the wave frame proportional to the damping rate and independent of the wave amplitude.
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