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Starting from the 2D time-independent Schr ̈odinger Equation, and using your knowledge of the 1D harmonic...

Starting from the 2D time-independent Schr ̈odinger Equation, and using your knowledge

of the 1D harmonic oscillator, write down the normalized ground-state and the first

excited state, with both position and time dependence included. Come up with a way

of writing these states in shorthand using kets.

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