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Wavefunctions and expectation values

Assignment:

For a particle in a 1-dimensional box confined between 0 :

a) The initial state of a particle is given by φ(x)=φ₁x+3φ₂(x)+ 2φ₃(x) Normalize this wave function.

b) If no energy measurements are made what is the expectation value of energy of this state at a later time t?

c) Is this expectation value of energy an energy eigenvalues of this system? Why or why not?

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