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for paticle in 3-dimensional box : A) calculate average values of " x " and " Px " at ground state B) Find the probability of finding particle in the first third of x with arbitrary values of y and z at ground state .

Note to triple integrals in one particle at 3-dimensional box:
Normalization condition for ground state is:
I| vrp * dxdydz = 1
8
Where for y the normalization constant is A=
abc
Therefore, for ground state with nx-ny3Dn2%3D1 we have:
습u sin 프 sin플 dr)(금) sin sin 팝 dy )()S sin 플 sin 플 dz) =1
пу
a
Exercises
For particle in 3-dimensional box:
1)calculate average values of x and Px at ground state.

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