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If the energy dispersion a two-dimensional electron system is E-uhk, where u is the velocity and k is the momentum, then the density of state D (E) depends on the energy as (June)
- a)
- b)Constant
- c)
- d)E
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If the energy dispersion a two-dimensional electron system isE-uhk, wh...
Here the energy dispersion of a two dimensional electron system is given as,
E=ℎku
Now, the number of states is given as,
Now, let hk = p
⇒ E = pu
Differentiating both sides of the equation E = pu, we get
dE = udp
Now, the density of the sates can be given as,
Therefore density of state is directly proportional to E.
E=ℎku
Now, the number of states is given as,
Now, let hk = p
⇒ E = pu
Differentiating both sides of the equation E = pu, we get
dE = udp
Now, the density of the sates can be given as,
Therefore density of state is directly proportional to E.
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If the energy dispersion a two-dimensional electron system isE-uhk, where u is the velocity andkis the momentum, then the density of stateD(E)depends on the energy as (June)a)b)Constantc)d)ECorrect answer is option 'D'. Can you explain this answer?
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