4.9 The probability of finding n photons in the mode being in acoherent state la) is given by the Poisson distribution(n)"e-(n)n!PnUse the Sterling's formula for the factorial to show that thisdistribution can be approximated by(n-(n))22(n)1Pnexp/27 (n)In what limit is this a good approximation?

The given probability for finding n photons is given as Poisson distribution: Pn=nnn!e-n Sterling's…

The probability of finding n photons in the mode being in a coherent state Ja) is given by the Poisson distribution (n)" Pn = e-(m). n! Use the Sterling's formula for the factorial to show that this distribution can be approximated by (n- (n))2 exp 1 2(n) 1 P, /27 (n) In what limit is this a good approximation?

The probability of finding n photons in the mode being in a coherent state Ja) is given by the Poisson distribution (n)" Pn = e-(m). n! Use the Sterling's formula for the factorial to show that this distribution can be approximated by (n- (n))2 exp 1 2(n) 1 P, /27 (n) In what limit is this a good approximation?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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