What really tells us de-Broglie's formula

[altsci]

The formula itself (f=mvc/h) interpreted by the usual QM that a particle having a mass m and velocity v can be considered as a wave of the frequency f. From here stems the whole concept of "particle-wave duality".

 

But wait a second: the particle by itself can not have a velocity because the velocity is always relative. It has to be another solid physical object the velocity of which is zero (frame of particle accelerator , or target). That means that the formula can be applied to a photon that is produced when the particle hits the frame.

 

Instead of duality we have a coexistence particles and waves

 

[Klaynos]

Frequency is also relative. So everything else you've bassed on the premise that velocity is relative can be dismissed as being on a false concept.

[studiot]

The formula itself (f=mvc/h) interpreted by the usual QM that a particle having a mass m and velocity v can be considered as a wave of the frequency f. From here stems the whole concept of "particle-wave duality".

 

But wait a second: the particle by itself can not have a velocity because the velocity is always relative. It has to be another solid physical object the velocity of which is zero (frame of particle accelerator , or target). That means that the formula can be applied to a photon that is produced when the particle hits the frame.

 

Instead of duality we have a coexistence particles and waves

 

 

 

To help you complete your research into this question and work towards a better answer, here is some history.

 

De Broglie's hypothesis (1924) was originally proposed to explain the photoelectric effect.

 

Now the proposal followed Planck using the equation

 

E = hf where f is the frequency of the light concerned and h is Planck's constant.

 

Of course there is no relative speed issue with light. It has a constant speed c for all observers and sources.

 

So using the equation c = fL where L is the wavelength, it was possible to arrive at an expression for the momentum of a photon.

 

Relativity gave one expression for the 'apparent mass' of the photon and the momentum another, equating these eliminates division by zero mass and produces a relationship between p = hf/c = H/L = Hk where p is the momentum, H the reduced Planck's constant and k the reciprocal of wavelength or wavenumber.

 

 

 

De Broglie further proposed that this be extended to all particles ie including massive ones and the same calculation be done, but this time including not cancelling the mass to yield a wavelength for such particles equal to h/mv.

 

Now the velocity input to these particles will be relative to the medium the particle is travelling in.

 

So for electrons orbiting the nucleus in its electrostatic field this will be the tangential velocity associated with that rotation.

 

For particles passing through a cloud chamber or other matter it will be relative to that matter

 

and so on.

 

There there is no problem with the 'relativity' of the motion.

 

Incidentally these associated 'matter waves' were experimentally confirmed by Davisson and Germer (1927) and Thompson (1928)