I Spin spin coupling problem an electron/positron system

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Assistance for homework problems is not available in this forum. Users are directed to post questions in the appropriate homework section. It is essential to use the homework template, which includes relevant equations formatted with the PF LaTeX feature. Additionally, users must provide their attempts at a solution. The thread has been closed due to these guidelines.
Hayam ramadan
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I am unable to solve this problem ... I found that chegg website has a solution but I dont have a credit card to pay ... i have exam by tmrw
Can anyone please help me out?
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Hayam ramadan said:
Can anyone please help me out?
Not in this forum. If you want help on a homework problem, you will need to post your question in the relevant homework forum. Also you will need to fill out the homework template, which requires you to post the relevant equations (using the PF LaTeX feature, not an image) and your attempt at a solution.

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For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...