How does this annihilation process play in semiconductors?
Initially i thought that as long as the an electron gets enough energy to move into conduction band (in an energy diagram) - it will move and wander within the Conduction band. However, i have a slide notes about annihilation that talks...
Eg) Silicon Material
When we say about mobility of a semiconductor - we basically have to consider its properties etc. One of it is impurities. Here we have to consider its TOTAL Dopant Concentration?
One way to learn to try some website like below:-
http://integrals.wolfram.com/index.jsp
then rework your solutions with the tools you have learnt.
simplify the difficult part into simpler ones and work on it.
Wanna try first? Thanks
Laplace Transform is used very much in Systems Theory.
Normally a system model in time domain - finding some characteristics is complicated eg) convolution is needed (complex steps). But if we deal in frequency domain laplace transform it into "s-domain" - we can do it in a "multipication"...
I view such qns playing with 'arrays' and 'susbstituion'.
Generally, i will view it this way:-
x is an array of (-3,2,5)
y is an array of (2,4,-5)
first part is u do the summation first - i call it inner.
Inner: (-3)(2) + (2)(4)
Then you do the Products - i call it outer.
But...
another opinion of mine personally is to resolve 'complex' question initially is to model them by substitution.
Like letting another alegrabic representation (eg) Let a = K+1 and then it will look simpler.
Hope it helps.