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de_broglie_matter_waves [2021/02/05 23:32] – [1.v.2 de Broglie Wavelength of the Electron] adminde_broglie_matter_waves [2022/10/13 18:00] (current) – [1.v.1 de Broglie Wavelength and Wave Vector] admin
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 Obviously, electromagnetic radiation does behave like a wave in many circumstances and matter behaves as if it were made up like particles in many circumstances, i.e., all circumstances where classical physics provides an adequate account.  Therefore, whether a system exhibits wave-like or particle-like properties depends on the experiment that we are doing.  This is known as //**wave-particle duality**//. Obviously, electromagnetic radiation does behave like a wave in many circumstances and matter behaves as if it were made up like particles in many circumstances, i.e., all circumstances where classical physics provides an adequate account.  Therefore, whether a system exhibits wave-like or particle-like properties depends on the experiment that we are doing.  This is known as //**wave-particle duality**//.
  
-For a photon, we have $E = pc$ and the quantum postulate says that $E = h\nu$.  Combining these gives $p = h\nu /c = h/\lambda$, or $\lambda = h/p$.+For a photon, we have \(E = pc\) and the quantum postulate says that $E = h\nu$.  Combining these gives $p = h\nu /c = h/\lambda$, or $\lambda = h/p$.
  
 de Broglie proposed that the same relation should hold for matter particles, so a matter particle with momentum $p$ is associated with a wave of wavelength de Broglie proposed that the same relation should hold for matter particles, so a matter particle with momentum $p$ is associated with a wave of wavelength