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Consider a particle in a box whose boundaries are located at L x 2 2 Show that the eigenfunctions look different from those derived

 

Consider a particle in a box whose boundaries are located at L x 2 2 Show that the eigenfunctions look different from those derived in class (where the position of the box was defined by 0 x L), but the eigenvalues are the same. The two boxes are the same except that the second box is the first box translated a distance L/2 to the left. Should any of the physically measurable results for the two boxes be different?

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