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De Broglie wavelength and wave function

Physics Asked on January 1, 2021

Is the De Broglie wavelength of a quantum entity same as the wavelength of its wave function?
If yes, why? If no, why? If it is true only under certain circumstances, what are the conditions?

2 Answers

If the wave function is a plane wave then it is a De Broglie wave, and its wave length is the same as that of the De Broglie wave. However, wave functions can be very different from plane waves. De Broglie theory was just an early milestone in the development of quantum theory, and today it is primarily of historical interest.

Correct answer by Vadim on January 1, 2021

It is very different! The wave function is a representation of the probability (only a representation, NOT the probability!) of a particle to exist in a certain position. In other words, it is only a mathematical model to show the probability of the particle's existence on a certain point. While on the other hand, the de Broglie wavelength of the particle is due to the duality of particles.

Answered by Michael Teguh Laksana on January 1, 2021

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