Saturday, 20 June 2015

quantum mechanics - lambda=frac2hp instead of lambda=frachp?


I am studying quantum physics and there is something I don't understand:





  1. I know that for any particle E=hf (Einstein relation) and




  2. v=λf (v is the speed of the particle).




  3. I also know that the kinetic energy is Ek=mv22.




Solving those 3 equations for λ: hvλ=mv22, I finally find λ=2hmv=2hp, which is not consistent with the De Broglie relation λ=hp. Where am I wrong in my development?





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