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(a) For a particle in the Sphere case, write the Laplacian operator both in Cartesian as well as in spherical coordinates. (b) Write the mathematical

(a) For a particle in the Sphere case, write the Laplacian operator both in Cartesian as well as in spherical coordinates.
(b) Write the mathematical expression of the energy of a particle in a Sphere. When the particle can be considered as in rest and why?

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