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a question of quantum mechanics:

Consider a particle in a two-dimensional potential

as shown in the picture

Suppose the particle is in the ground state. If we measure the position of the particle, what is
the probability of detecting it in region 0<=x,y<=L/2 ?

1. Consider a particle in a two-dimensional potential
0,
V(x, y) =
o,
0 < x, y < L
Otherwise
(a) Suppose the particle is in the ground state. If we measure the position of the particle, what is
the probability of detecting it in region 0 < x,y < L/2?

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