Matter waves are infinitely long. Because particle matter waves have fundamental frequency and its harmonics, particles have an infinite number of different-frequency matter waves. Because particles interact with other universe masses and charges, particles have matter waves differing in wavelength by infinitesimally small amounts. Superposition of an infinite number of infinitely long waves, differing in wavelength by infinitesimally small amounts, makes significant amplitude {wave packet}| in one region and insignificant amplitudes in all other regions. Particles are matter-wave packets.
time
Over time, as superposition makes different results, wave packets can disappear and reappear. Wave superposition can narrow or broaden wave-packet duration. and broadening frequency range.
size
Wave packets have three to ten oscillations, with maximum amplitude in center and no amplitude at edges. Longest wavelengths are in middle and smallest wavelengths are at edges. If wavelength range is small, packet is wide. If wavelength range is large, packet is narrow.
speed
Wave packets travel at particle speed, but wave-packet component waves travel at slower and faster speeds.
frequencies
Matter-wave-packet frequency varies directly with particle energy. Wave superposition can narrow or broaden wave-packet frequency range. If wave packet has many frequencies, volume is small, but energy is big. If wave packet has few frequencies, volume is large, and energy is small.
dispersion
Due to dispersion, wave packets spread out lengthwise and transversely.
Physical Sciences>Physics>Quantum Mechanics>Waves
5-Physics-Quantum Mechanics-Waves
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Date Modified: 2022.0224