De-Broglie equation for other particles except photonIf E=hf is applicable for electron and other particles, the De Broglie wavelength should be λ=hv/pc. Because, mc^2=hf which implies mc^2=hc/λ which implies m=h/λc and thus λ=hv/pc. But I have found in my text book that λ=h/p is applicable not only for photon but also for all particle. But how can λ=h/p=h/mv be applicable for all particle?

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Ari Jacobs · Accepted Answer

The De Broglie relations  E  =  h  ν  ,  p  =      h    λ  are applicable to all particles. However the relation between the frequency/energy and the wave length/momentum, is not the same. Thus, for photons   f  =      c    λ  , for non-relativistic electrons   E  =            p      2              2      m      , for relativistic electrons       E    2    =      m    2        c    4    +      p    2        c    2

quorums15lep · Accepted Answer

For your last step you just introduce a v in both the numerator and denominator. That is meaningless as it is unity.In the expression   λ  =      h          m      c      , you just have to set   c  =  v to account for particles with different momenta and thus different velocities, not equal to the speed of light.Do it in this way:  E  =  h  f  =  m      c    2              h      c        λ    =  m      c    2        h    λ    =  m  c  λ  =      h          m      c        λ  =      h          m      v

De-Broglie equation for other particles except photon If E=hf is applicable for electron and other

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