Consider a particle of mass m trapped in a 1-dimensional infinite square well, but unlike our author's oice, let the particle be trapped between x = L and x= 2L. a) b) c) Determine the normalized spatial wave functions. Write out p(x, t) for the ground sate. Determine (x) for the ground state.

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1. Consider a particle of mass m trapped in a 1-dimensional infinite square well, but unlike our author's
choice, let the particle be trapped between x = L and x= 2L.
a)
Determine the normalized spatial wave functions.
Write out y(x, t) for the ground sate.
Determine (x) for the ground state.
Determine (p²) for the ground state.
Write down the normalized time dependent wavefunction if the particle is equally
likely to be measured in the ground state and the first excited state. Is this a stationary
state? Explain.
b)
c)
d)
e)
Transcribed Image Text:1. Consider a particle of mass m trapped in a 1-dimensional infinite square well, but unlike our author's choice, let the particle be trapped between x = L and x= 2L. a) Determine the normalized spatial wave functions. Write out y(x, t) for the ground sate. Determine (x) for the ground state. Determine (p²) for the ground state. Write down the normalized time dependent wavefunction if the particle is equally likely to be measured in the ground state and the first excited state. Is this a stationary state? Explain. b) c) d) e)
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