Question regarding particles and wavelength

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SUMMARY

The discussion clarifies the concept of wavelength in the context of particle/wave duality. It establishes that the wavelength referred to is the wavelength of the wavefunction associated with a specific momentum eigenstate of the particle, rather than the actual wavelength of the particle itself. This interpretation aligns with de Broglie's principles, emphasizing the wave-like behavior of particles in quantum mechanics.

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  • Understanding of particle/wave duality in quantum mechanics
  • Familiarity with wavefunctions and eigenstates
  • Knowledge of de Broglie's hypothesis
  • Basic grasp of momentum in quantum systems
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Homework Statement


I know about particle/wave duality; however, when I read a passage and it says the wavelength of the particle I'm not sure what it's referring to. Is it the actual wavelength of the particle or the wavelength of the wavefunction for a particular eigenvalue?



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The Attempt at a Solution

 
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It's the wavelength of a wavefunction corresponding to a particular momentum eigenstate of the particle. So, yes, the latter. See de Broglie.
 

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