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- Wave_packet abstract "In physics, a wave packet (or wave train) is a short "burst" or "envelope" of localized wave action that travels as a unit. A wave packet can be analyzed into, or can be synthesized from, an infinite set of component sinusoidal waves of different wavenumbers, with phases and amplitudes such that they interfere constructively only over a small region of space, and destructively elsewhere. Depending on the evolution equation, the wave packet's envelope may remain constant (no dispersion, see figure) or it may change (dispersion) while propagating.Quantum mechanics ascribes a special significance to the wave packet: it is interpreted as a "probability wave", describing the probability that a particle or particles in a particular state will be measured to have a given position and momentum. It is in this way related to the wave function.Through application of the Schrödinger equation in quantum mechanics, it is possible to deduce the time evolution of a system, similar to the process of the Hamiltonian formalism in classical mechanics. The wave packet is thus a mathematical solution to the Schrödinger equation. The area under the absolute square of the wave packet solution is interpreted as the probability density of finding the particle in a given region. The dispersive character of solutions of the Schrödinger equation has played an important role in rejecting Schrödinger's original interpretation, and accepting the Born rule.In the coordinate representation of the wave (such as the Cartesian coordinate system), the position of the physical object's localized probability is specified by the position of the packet solution. Moreover, the narrower the spatial wave packet, and therefore the better localized the position of the wave packet, the larger the spread in the momentum of the wave. This trade-off between spread in position and spread in momentum is a characteristic feature of the Heisenberg uncertainty principle,and will be illustrated below.".
- Wave_packet thumbnail Wave_packet_(no_dispersion).gif?width=300.
- Wave_packet wikiPageExternalLink watch?v=s8RIqZgFbXA.
- Wave_packet wikiPageID "452667".
- Wave_packet wikiPageRevisionID "600289061".
- Wave_packet bgcolor "#F9FFF7".
- Wave_packet borderColour "#0073CF".
- Wave_packet cellpadding "6".
- Wave_packet hasPhotoCollection Wave_packet.
- Wave_packet indent ":".
- Wave_packet subject Category:Quantum_mechanics.
- Wave_packet subject Category:Wave_mechanics.
- Wave_packet comment "In physics, a wave packet (or wave train) is a short "burst" or "envelope" of localized wave action that travels as a unit. A wave packet can be analyzed into, or can be synthesized from, an infinite set of component sinusoidal waves of different wavenumbers, with phases and amplitudes such that they interfere constructively only over a small region of space, and destructively elsewhere.".
- Wave_packet label "Pacchetto d'onda".
- Wave_packet label "Paczka falowa".
- Wave_packet label "Paquet d'onde".
- Wave_packet label "Paquete de ondas".
- Wave_packet label "Wave packet".
- Wave_packet label "Wellenpaket".
- Wave_packet label "Волновой пакет".
- Wave_packet label "حزمة موجية".
- Wave_packet label "波包".
- Wave_packet label "波束".
- Wave_packet sameAs Wellenpaket.
- Wave_packet sameAs Paquete_de_ondas.
- Wave_packet sameAs Paquet_d'onde.
- Wave_packet sameAs Pacchetto_d'onda.
- Wave_packet sameAs 波束.
- Wave_packet sameAs Paczka_falowa.
- Wave_packet sameAs m.02b91p.
- Wave_packet sameAs Q1412691.
- Wave_packet sameAs Q1412691.
- Wave_packet wasDerivedFrom Wave_packet?oldid=600289061.
- Wave_packet depiction Wave_packet_(no_dispersion).gif.
- Wave_packet isPrimaryTopicOf Wave_packet.