A wave packet is a concept used in physics, particularly in quantum mechanics and wave theory, to describe a localized group of waves that combine to form a single entity. It exemplifies how a wave can represent a particle, illustrating the wave-particle duality of matter. Here are key characteristics and explanations related to wave packets: 1. **Superposition of Waves**: A wave packet is typically formed from the superposition (sum) of multiple sinusoidal waves with different wave numbers and frequencies.
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A wave packet is a localized superposition of Fourier modes. In a narrow packet, nearby wavenumbers interfere to produce a slowly varying wave envelope around a rapid carrier wave. Its leading translation is governed by group velocity; the carrier's wave phase follows phase velocity. Localized does not necessarily mean compact support: a Gaussian function decays rapidly but extends over the whole line. The Gaussian envelope in a Klein-Gordon medium gives an original example with both translation and spreading.