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3) show that (N) = ENONP(N,V) = Nop and (N²) – (N)² = Nop(1– p) No N=0+ %3D hint : write N2 = N(N – 1) +N 4) show that if both Nop and No(1– p) are big numbers, the function P(N,V) has a Gaussian form. Where is the center of the gaussian and what is its width? hint : set x N– Nop, rewrite log P(N,V) as a function of x and use Stirling's formula. Assume x << Nop and x << No(1- p), expand for small x.

3) show that (N) = ENONP(N,V) = Nop and (N²) – (N)² = Nop(1– p) No N=0+ %3D hint : write N2 = N(N – 1) +N 4) show that if both Nop and No(1– p) are big numbers, the function P(N,V) has a Gaussian form. Where is the center of the gaussian and what is its width? hint : set x N– Nop, rewrite log P(N,V) as a function of x and use Stirling's formula. Assume x << Nop and x << No(1- p), expand for small x.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3) show that (N) = ENONP(N,V) = Nop and (N²) – (N)² = Nop(1– p) hint : write N2 = N(N – 1)+N N=0+ 4) show that if both Nop and No(1– p) are big numbers, the function P(N,V) has a Gaussian form. Where is the center of the gaussian and what is its width? hint : set x – Nop, rewrite log P(N,V) as a function of x and use Stirling's formula. Assume x << Nop and x << No(1- p), expand for small x.
Transcribed Image Text:3) show that (N) = ENONP(N,V) = Nop and (N²) – (N)² = Nop(1– p) hint : write N2 = N(N – 1)+N N=0+ 4) show that if both Nop and No(1– p) are big numbers, the function P(N,V) has a Gaussian form. Where is the center of the gaussian and what is its width? hint : set x – Nop, rewrite log P(N,V) as a function of x and use Stirling's formula. Assume x << Nop and x << No(1- p), expand for small x.
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