Akagami no Sadat
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What is the use of de Broglie equation
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homemadeclock
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the wave of a particle can be interpreted as a probability wave, where the probability of finding a particle at a point is proportional to the sqaure of the amplitude of the wave at that point; something along those lines, think of it as easy marks in the exam :P
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Kallisto
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The Broglie equation just described the matter as wave in mathematical form, the electron in particular.

As homemadeclock told you, this character of an electron, the matter wave, is used in science to determine the propability of the location. A good example is the potential well in which the electron is moving from one wall of the well to another with an endless distance to each other. By this movement, the electron is causing a standing wave with antinodes and wave troughs. From propability's view the troughs means the impossibility to find an electron in the potential well at a certain point, while the antinodes in turn stand for the higest propability of finding this particle.
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Eimmanuel
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(Original post by Akagami no Sadat)
What is the use of de Broglie equation
It may be better to ask what de Broglie equation or relation tells us.

Before 1905, light is considered to be wave but the result of the photoelectric effect implies the particle-nature of light (or radiation). De Broglie equation connects two seemingly contradicting properties together – wave (wavelength is used to describe wave) and particle (momentum is used to describe particle). The implication is that matter (or radiation) has dual nature – wave nature and particle nature (or wave model and particle model). Neither nature can be used exclusively to describe matter or radiation adequately. De Broglie equation gives rise to what some people would call as fundamental matter–wave postulate.

https://www.spaceandmotion.com/Physi...de-Broglie.htm
https://en.wikipedia.org/wiki/Matter...lie_hypothesis

Be careful - wave nature of particles is often interpreted that particles itself are waves. It is a wrong interpretation!

Note that the wave probability that homemadeclock and kallisto had described is not coming from de Broglie equation. Probability wave came from Max Born in 1928.
https://www.spaceandmotion.com/physi...s-max-born.htm
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Eimmanuel
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(Original post by Kallisto)
The Broglie equation just described the matter as wave in mathematical form, the electron in particular.

As homemadeclock told you, this character of an electron, the matter wave, is used in science to determine the propability of the location. A good example is the potential well in which the electron is moving from one wall of the well to another with an endless distance to each other. By this movement, the electron is causing a standing wave with antinodes and wave troughs. From propability's view the troughs means the impossibility to find an electron in the potential well at a certain point, while the antinodes in turn stand for the higest propability of finding this particle.
Antinodes in a standing wave mean both "troughs" and "crests". Trough of a standing wave does not mean the impossibility to find an electron in the potential well at a certain point.
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Kallisto
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(Original post by Eimmanuel)
Antinodes in a standing wave mean both "troughs" and "crests". Trough of a standing wave does not mean the impossibility to find an electron in the potential well at a certain point.
Sorry, my mistake I talked about the nodes in a standing wave and it is right that they mean impossibility to meet an electron in a potential well, isn't it?
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