Unformatted text preview: ordinates, we say that it is separable, and as you see its solution is trivial in those cases. A separ able Hamiltonian means that the motion of the particle in each coordinate is independent of the motion in the other coordinates. This is not the case in general; any potential field that depends simul taneously on x and on y would make the x motion coupled to the y motion; in that case, the eigenstates would no longer be expressible in product form....
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 Fall '08
 Mccall
 Eigenvalue, eigenvector and eigenspace, Fundamental physics concepts, Eigenfunction, Nancy Makri, able Hamiltonian means

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