Relationship Between Energy and Wavelength

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SUMMARY

The discussion focuses on the relationship between energy (E) and wavelength (λ) using the equations E=hν and λ=h/p. The user derives E=λν, which simplifies to E=cp, and questions the validity of this relationship. They further explore the implications by relating cp to mc², ultimately concluding that c equals v. The conversation emphasizes the need for clarity in understanding the units of each variable involved in these equations.

PREREQUISITES
  • Understanding of Planck's equation (E=hν)
  • Familiarity with de Broglie wavelength (λ=h/p)
  • Knowledge of the relationship between energy, mass, and the speed of light (E=mc²)
  • Basic grasp of wave-particle duality in quantum mechanics
NEXT STEPS
  • Research the implications of Planck's constant in quantum mechanics
  • Study the derivation and applications of de Broglie wavelength
  • Learn about the relationship between energy and momentum in particle physics
  • Explore the concept of wave-particle duality and its significance in modern physics
USEFUL FOR

Students of physics, educators teaching quantum mechanics, and researchers exploring the fundamental principles of energy and wavelength relationships.

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I'm looking at the equations E=h\nu and \lambda=h/p and trying to determine the relationship between E and \lambda. What I'm coming up with is E=\lambda\nup, which simplifies to E=cp. This doesn't quite make sense to me though, is there a mistake, or should I just look more into the units of each variable?

EDIT: Not sure why, but nu looks like a superscript when I posted this. I assume everyone here is familiar the equations, but I just want to clarify that I'm not trying to say "lambda to the nu power."
 
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Nevermind. I just took it a little further by setting cp=mc^2 and found c=v. Mods, feel free to lock/delete this thread.
 

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