De broglie wavelength is postulate?

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SUMMARY

The discussion centers on the application of the de Broglie wavelength to particles with mass, contrasting it with massless particles like photons. It highlights that while the Planck-Einstein relations, E=hν and p=ħk, initially applied to photons, they were later postulated to extend to material particles. However, the complexity of the Schrödinger wave function arises from the non-zero rest mass of these particles, necessitating a different approach to their wave-particle duality. Griener's assertion that this is a postulate emphasizes the need for careful consideration of relativistic equations when discussing matter waves.

PREREQUISITES
  • Understanding of the Planck-Einstein relations (E=hν, p=ħk)
  • Familiarity with wave-particle duality concepts
  • Knowledge of the Schrödinger wave function
  • Basic principles of relativistic physics
NEXT STEPS
  • Research the implications of the de Broglie wavelength for massive particles
  • Study the derivation of the Schrödinger wave function in the context of relativistic particles
  • Explore the differences between massless and massive particle momentum-energy relations
  • Examine Griener's postulates regarding matter waves and their implications in quantum mechanics
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Students and professionals in physics, particularly those focused on quantum mechanics, wave-particle duality, and the implications of relativistic equations on matter waves.

einstein_vishnu
we have seen that for massless (rest) patricle.we can relate the particle nature with the wave nature by einstein's relation.
what about the matter waves?
we cann't use the same relativistic equation for the momentum energy relation to generalise that to matter waves too,because rest mass is not zero.Griener mentions that it is postulate,if we try other form then we can get rid off complex Schrödinger wave function.
waiting for reply
 
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The Planck-Einstein relations

[tex]E=h\nu=\hbar \omega[/tex]

[tex]\vec p=\hbar \vec k[/tex]
initially held for photons alone.
It was later postulated to hold for material particles as well.

I hope that's an anwer to your question.
 
why should we take the same equations for particle with nonzero rest mass.that derivation includes the relativistic relation between energy, momentum and rest mass.this gives the answer for my valid question of altering debroglie wavelength.
thanks for the reply.
 

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