Hi, I'm new and I'm from Poland.(adsbygoogle = window.adsbygoogle || []).push({});

I have problem with equation(average number of photons registered behind pinhole 1 in two slit experiment):

[tex]\bar{n}_1=\langle n|a_{1}^{+}a_{1}|n\rangle=\frac{\langle 0|(a^{+})^{n}a_{1}^{+}a_{1}(a^{+})^{n}|0\rangle}{n!}[/tex]

using:

[tex]a^{+}=\frac{(a_{1}^{+}+a_{2}^{+})}{ \sqrt{2}}[/tex]

and

[tex]a=\frac{(a_{1}+a_{2})}{\sqrt{2}}[/tex]

and

[tex]|n\rangle=\frac{1}{\sqrt{n!}}(a^{+})^{n}|0\rangle[/tex]

and using usual creation and destruction oprator properties, to give finally :

[tex]\bar{n}_1=\frac{1}{2}[/tex]

I have no idea how to do it...

Big thnx

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# Homework Help: Two slit experiment - quantum theory - problem

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