Dispersion relation and Photonic Energy and Momentum Equations in QM

  • Thread starter DaTario
  • Start date
  • #1
902
26
Hi All,

In quantum mechanics, related to photon, we have these two equations as valid ones:

E = h x f

p = h / lambda

But we have in vacuum the dispersion relation c = lambda x f.

1) How these relations change when the dispersion relation change ?

2) Is it universally correct to write p = h x f / c ?


Thanks ALL

Best Regards

DaTario
 

Answers and Replies

  • #2
902
26
Or still, is it correct to write:

E = h c / lambda ?

Best wishes

DaTario
 
  • #3
DrDu
Science Advisor
6,089
800
Yes, but at least c should be understood to mean not the vacuum velocity but the velocity of the wave in the medium.
 

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