Dispersion relation and Photonic Energy and Momentum Equations in QM

[DaTario]

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

 

[DaTario]

Or still, is it correct to write:

E = h c / lambda ?

Best wishes

DaTario

 

[DrDu]

Yes, but at least c should be understood to mean not the vacuum velocity but the velocity of the wave in the medium.