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Ground state (20 min)

Use the operator $ a$ to calculate the ground state wave function $ \psi_0(x)$ explicitely. Start from the operation
$\displaystyle a\vert\rangle = 0 \leadsto a \psi_0(x) = 0,$     (42)

and use the definition of $ a$ to derive an ordinary differential equation for $ \psi_0(x)$ that you can solve.


Tobias Brandes 2004-02-04