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Question: Integrate density of states times Fermi distribution over energy

Question:Integrate density of states times Fermi distribution over energy

mzh 10
integral distribution
May 07 2012
0

Dear Maple Users

Let the density of electronic states be denoted

The Fermi Distribution is given by

where k is the Boltzmann constant, T is temparature and E_F is the Fermi energy.

The integral of N times f(E) over energy

from the conduction level to infinity can not be evaluated. However, when letting (E - E_F) >> kT, the integral can be evaluated.

How can I provide this assumption to Maple and have it evaluate the integral given this condition?

Thank you for any feedback.

Martin
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