A free electron with initial kinetic energy and de broglie wavelength lambda interest in a region in which position is you what is the particles new de broglie wavelength
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De Broglie wavelength is a wavelength, which is manifested in all the particles in quantum mechanics, according to wave-particle duality, and it determines the probability density of finding the object at a given point of the configuration space. The de Broglie wavelength is inversely proportional to the particle momentum.
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