- #1
patric44
- 296
- 39
- Homework Statement
- Derivation of the velocity of bloch electrons
- Relevant Equations
- In the picture below
Hi guys
I saw that equation of the velocity of electrons In a periodic potential $$ v = (1/h) grad E(k) $$ in my textbook we use in our solid state physics course without any proof or any thing and when I searched for it I found that its derived in Ashcroft book appendix E :
Is there is any other relatively simpler proof, I mean how did he even expand the first term it's doesn't look like the Taylor series that I know!, and it uses perturbation theory, can I drive it using less heavier quantum mechanics?
I saw that equation of the velocity of electrons In a periodic potential $$ v = (1/h) grad E(k) $$ in my textbook we use in our solid state physics course without any proof or any thing and when I searched for it I found that its derived in Ashcroft book appendix E :
Is there is any other relatively simpler proof, I mean how did he even expand the first term it's doesn't look like the Taylor series that I know!, and it uses perturbation theory, can I drive it using less heavier quantum mechanics?