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Q6:1 A two-dimensional harmonic oscillator has a quantum hamiltonian operator H given by
1
2m (ər* Əye) +mw² (x² + y²).
Write down the time independent Schrödinger equation for this oscillator.
(i) Show that the Schrödinger equation for this H can be written as two one-dimensional equations
by explicit separation of variables.

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