# Consider a simple harmonic oscillator in one dimension. Do the following algebraically, that is,without using wavefunctions.a) Construct a linear combination of |0) and |1) such that the expected position (x) is as large aspossibleb) Suppose the oscillator is in the state you found in part (a) at time t -vector for t> 0 in the Schrödinger picture? Evaluate the expectation value (x) at time t using (i)the Schrödinger picture and (ii) the Heisenberg picture.0. What is the statec) Evaluate the uncertainty in position, ((Ax)) as a function of time using either picture.

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Asked Nov 20, 2019
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It's a quantum mechanics question.

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## Expert Answer

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Step 1

(a)

The linear combination of the wave function can be written as,

Step 2

The large expectation value of x can be determined as,

Step 3

To maximize the expec...

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