durant35 said:And how we connect this with special relativity where the velocity depends on the frame of reference.
I'm sorry, but de Broglie's thesis from 1924 starts from ##E = mc^2##. It is then by combining this with Planck's ##E = h \nu## that he ends up with a wavelength for a matter wave. I don't see how this is not a relativistic theory.Vanadium 50 said:Doc Al pointed out that I was wrong about the sequence of events - DeBroglie was after SR. However, it is still a non-relativistic theory.
That is correct.DrClaude said:I'm sorry, but de Broglie's thesis from 1924 starts from ##E = mc^2##. It is then by combining this with Planck's ##E = h \nu## that he ends up with a wavelength for a matter wave. I don't see how this is not a relativistic theory.
A reproduction of the thesis (in French) can be found at https://tel.archives-ouvertes.fr/tel-00006807/en/
That link doesn't work.Heinera said:An english translation of the thesis can be found here: https://www.relativitycalculator.com/pdfs/On_Theory_Quanta.pdf
Hm. Works here. What kind of error do you get?DrClaude said:That link doesn't work.
Server not found.Heinera said:Hm. Works here. What kind of error do you get?
Ok. See if you have better luck with this server:DrClaude said:Server not found.
Yes, it works.Heinera said:Ok. See if you have better luck with this server:
http://www.plasma.uaic.ro/topala/articole/De_Broglie%201927.pdf
The De Broglie wavelength is a concept in quantum mechanics that describes the wavelength associated with a moving particle. It is given by the equation λ = h/mv, where h is Planck's constant, m is the mass of the particle, and v is its velocity.
The De Broglie wavelength is inversely proportional to the velocity of a particle. This means that as the velocity increases, the wavelength decreases and vice versa.
The De Broglie wavelength is significant because it shows that particles, such as electrons, have both wave-like and particle-like properties. This phenomenon is known as wave-particle duality and is a fundamental concept in quantum mechanics.
No, the De Broglie wavelength is only significant for particles with very small masses, such as electrons, protons, and neutrons. The wavelength of larger objects, such as humans or cars, would be too small to be observed.
The De Broglie wavelength affects the behavior of particles in various ways. It explains phenomena such as diffraction and interference, where particles exhibit wave-like behaviors. It also plays a role in the uncertainty principle, which states that the more precisely we know a particle's position, the less we know about its momentum, and vice versa.