Calculate Eigen Function of 3D Potential Box w/ Doubled X Side

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Suppose we have a 3D potential box having different length. Now suddenly we double the length of a particular side(Say along X direction) of the box. Can we calculate what will be the eigen function of the Hamiltonian. Is there Time Independent S.E. holds?
 
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Yes you can do that but this sounds an awful lot like extremely standard QM HW problems so is this meant to be such?
 

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