Where am I doing mistake of concept in deriving the De Broglie equation?When I am deriving de Broglie wavelength for a relativistic particle using E 2 = m 2 c 4 + p 2 c 2 and equating with E = h c λ , and then putting p = k m v, k being relativistic factor, I am getting λ = h k m c instead of h k m v .Is there any mistake that i am doing with equating those 2 energy equations ? Or something else ?

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Where am I doing mistake of concept in deriving the De Broglie equation?When I am deriving de Broglie wavelength for a relativistic particle using       E    2    =      m    2        c    4    +      p    2        c    2   and equating with   E  =            h      c        λ  , and then putting   p  =  k  m  v,   k being relativistic factor, I am getting   λ  =      h          k      m      c       instead of       h          k      m      v      .Is there any mistake that i am doing with equating those 2 energy equations ? Or something else ?

hospitaliapbury · Accepted Answer

The equation       E    2    =      m    2        c    4    +      p    2        c    2   is valid for all particles with mass   mBut equation   E  =            h      c        λ   is true only for massless particles (i.e.   m  =  0), e.g. for photons.I guess you got this wrong equation by putting together   E  =  h  ν (which is indeed correct for all particles) and   ν  =      c    λ   (which is valid only for massless particles).

Laila Andrews · Accepted Answer

The speed is             k      m      v              c        2                    k      m              c        2              =            p              c        2              E  . Using this speed in place of   c to get frequency from a wavelength,  E  =  h  ν  =            h      p              c        2                    E      λ          ⟹    λ  =            h      p              c        2                    E      2        =            h      v              k      m              c        2              .This is the correct relation for massive particles.

Where am I doing mistake of concept in deriving the De Broglie equation? When I am deriving de Bro

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