Does this expression has an exact solution?

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how to solve this hamilition? and Does this expression has an exact solution?
 

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It has an exact solution. Try to make a coordinate transformation so that the potential term is diagonal in the new coordinates.
 
weejee said:
It has an exact solution. Try to make a coordinate transformation so that the potential term is diagonal in the new coordinates.

if I change the C to Cij , it still has an exact solution ?