λ ≡ h p
Playing a crucial role for the wave-particle duality in quantum mechanics.
Propagation of de Broglie waves in one dimension – real part of the complex amplitude is blue, imaginary part is green. The probability (shown as the color 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 slope decreases, so the amplitude diminishes again, and vice versa. The result is an alternating amplitude: a wave.
de Broglie Wavelength
wavelength of matter waves in quantum mechanics