De broglie's explanation of bohr's second postulate

In summary, the conversation discusses the relationship between the principle quantum number and the number of wavelengths in De-Broglie's hypothesis. However, this hypothesis was proven incorrect and the correct explanation lies in the solutions to Schroedinger's equation. Additionally, it is mentioned that for a wave function in one dimension, the principle quantum number is equal to the number of nodes of the wave function.
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De broglie proved that angular momentum of particle can not have any value it has to have the value of nh/2pi and that's what Bohr's second postulate says but according to bohr that n in the formula is principal quantum number but according to de broglie n corresponds to number of waves.So why number of wavelength is same as principal quantum number?View this video from 8:00 to 8:08
why number of wavelength is same as principal quantum number.
https://ssl.gstatic.com/s2/oz/images/cleardot.gif
I know it has something to do with standing waves but not getting correct explanation.https://ssl.gstatic.com/s2/oz/images/cleardot.gif
 
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De-Broglie's hypothesis was simply an incorrect stepping stone to the correct quantum theory that came about at the end of 1926 when Dirac published his transformation theory - it's wrong - forget about it.

But within that model its pretty easy - if its some sort of wave only some waves can fit around a circle.

But like I say - its wrong - the correct answer is the solutions to Schroedinger's equation:
http://users.physik.fu-berlin.de/~pascual/Vorlesung/SS06/Slides/AMOL-L1d.pdf

Thanks
Bill
 
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Something that is true is that for a wave function in one dimension, the principle quantum number for a bound state is equal to the number of nodes of the wave function (places where the wave function is equal to zero). (With the exception that the wave function may also have a node wherever the potential is infinite.)
 
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Related to De broglie's explanation of bohr's second postulate

1. What is De Broglie's explanation of Bohr's second postulate?

De Broglie's explanation of Bohr's second postulate states that electrons have both wave-like and particle-like properties. This means that they can behave as waves with a specific wavelength and frequency, and also as particles with a specific mass and momentum.

2. How does De Broglie's explanation support Bohr's second postulate?

De Broglie's explanation supports Bohr's second postulate by providing a possible explanation for the quantized energy levels in an atom. According to De Broglie, electrons can only exist in specific energy levels because they can only have specific wavelengths and frequencies, which correspond to these energy levels.

3. What evidence supports De Broglie's explanation of Bohr's second postulate?

One of the main pieces of evidence supporting De Broglie's explanation is the phenomenon of electron diffraction. This is when a beam of electrons is passed through a narrow slit and creates an interference pattern, similar to what is seen with light waves. This supports the idea that electrons have wave-like properties.

4. Can De Broglie's explanation of Bohr's second postulate be applied to other particles?

Yes, De Broglie's explanation can be applied to other particles, such as protons, neutrons, and even larger particles like atoms and molecules. This concept is known as wave-particle duality and is a fundamental principle in quantum mechanics.

5. How does De Broglie's explanation of Bohr's second postulate relate to the uncertainty principle?

De Broglie's explanation is closely related to the uncertainty principle, which states that it is impossible to know both the exact position and momentum of a particle at the same time. This is because the more we know about the position of a particle, the less we know about its momentum, and vice versa. De Broglie's explanation helps to explain this principle by showing that particles have both wave-like and particle-like properties, making it difficult to measure both at the same time.

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