Schrodinger''s wave equation in a three dimensional box., Physics

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Q. Write down Schrodinger's wave equation for a particle in a three dimensional box. Solve it to get eigen functions and show that the eigen values are discrete. 

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Free particle in a three dimensional box : Let us suppose that a particle is trapped in a 3 D rectangular box of sides a, b, c parallel to x, y, z axis respectively as shown in fig. The particle can move freely within the region 0


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