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2. A simple harmonic oscillator is in the state
4 = N(Yo + λ 4₁)
where λ is a real parameter, and to and ₁ are the first two orthonormal stationary states.
(a) Determine the normalization constant N in terms of λ.
(b) Using raising and lowering operators (see Griffiths 2.69), calculate the uncertainty Ax in terms of .

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