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[tex]H=H_{x}+H_{y}[/tex] and

[tex]\Phi(x,y) = cos (\pi x/a) cos (\pi y/a) sin(2 \pi x/a) sin(2 \pi y/a)[/tex]

if we measure [tex]H_{x}[/tex] what do we get?

the energy for this an infinit potential well is [tex]E_{n} propotional to n^{2}[/tex]

so do we just say that [tex]H_{x} |\Phi>_{x,y} = E_{n} |\Phi>_{x,y}[/tex] ?

and the n here is only 1 and 2 ie E1 and E2? what about measuring H? do we get E1+E2 or am I misunderstanding all this? Any help is appreciated

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# Result of measuring H_x

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