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.

The Gaussian is called a wavepacket because of its Fourier transform: it is a packet of waves with frequencies/wavenumbers clustered around a single value k c (the subscript “c” is for “car- rier”, as we explain below).

2020年8月13日 · The wave equation operator applied to the plane wave describing the particle propagation yields the energy-momentum relationship for the particle.

1996年4月17日 · A wave packet refers to the case where two (or more) waves exist simultaneously. A wave packet is often referred to as a wave group. This situation is permitted by the principle of superposition.

2022年1月29日 · As the most important particular example, consider the Gaussian wave packet \[\Psi(x, 0)=A(x) e^{i k_{0} x}, \quad \text { with } A(x)=\frac{1}{(2 \pi)^{1 / 4}(\delta x)^{1 / 2}} \exp \left\{-\frac{x^{2}}{(2 \delta x)^{2}}\right\}\] (By the way, Fig. 1.6a shows exactly such a packet.)

wavepacket is a superposition of plane waves eikx with various wavelengths. Let us work with wavepackets at t = 0. Such a wavepacket is of the form. If we know (x; 0) then (k) is calculable. In fact, by the Fourier inversion theorem, the function. …

2020年9月24日 · Thus, Equation ([e2.45]) is the wavefunction of a particle that is initially localized around x = x0 x = x 0 in some region whose width is of order Δx Δ x. This type of wavefunction is known as a wave-packet. Figure 7: A Gaussian probability distribution in -space.

Here are some facts about wave packets: You can algebraically add together sinusoidal waves of di erent amplitudes, frequencies and wavelengths to obtain a wave packet. If you try to create a wave packet that is very tightly restricted in position x, …

A wave packet is a com­bi­na­tion of waves with about the same mo­men­tum. Com­bin­ing waves into wave pack­ets can pro­vide lo­cal­iza­tion of par­ti­cles. The en­ve­lope of the wave packet shows the re­gion where the par­ti­cle is likely to be found.

2014年12月27日 · What is the wave packet? In physics, a wave packet is a short "burst" or "envelope" of localized wave action that travels as a unit.