De
Broglie Wavelength
In quantum
mechanics, the concept of matter
waves or de
Broglie waves reflects the wave–particle duality of matter. The theory was
proposed by Louis de
Broglie in 1924 in his PhD thesis. The de
Broglie relations show that the wavelength is inversely proportional to the momentum of a particle
and is also called de Broglie wavelength. Also the frequency of matter waves,
as deduced by de Broglie, is directly proportional to the particle's total
energy, i.e. the sum of
particle's Kinetic
energy and rest
energy.
Propagation
of de Broglie waves in 1d - real part of the complex amplitude is blue, imaginary part is green. The
probability (shown as the colour opacity) of finding the particle at a given point x is spread out like a waveform, there is no
definite position of the particle. As the amplitude increases above zero the curvature decreases, so the amplitude decreases again,
and vice versa - the result is an alternating amplitude: a wave. Top: plane wave. Bottom:wave packet.
Source: wikipedia, NASA
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