2. Consider a charged particle in a box of length L. A uniform electric field is along the x-axis inside the box The unperturbed eigenstates are sin -), n-1,2, 3, ... and the unperturbed eigenvalues are e" 2ml ) Calculate the first order correction to the energy eigenvalues. Comment on your answer. ) Calculate the first order correction to the eigenstates

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P2. Consider a charged particle in a box of length L. A uniform electric field is along the x-axis inside the box.
The unperturbed eigenstates are
-), n-1, 2, 3, ... and the unperturbed eigenvalues are "
sin
2mL
a) Calculate the first order correction to the energy eigenvalues. Comment on your answer.
b) Calculate the first order correction to the eigenstates
IL Harmonic Oscillator:
Transcribed Image Text:P2. Consider a charged particle in a box of length L. A uniform electric field is along the x-axis inside the box. The unperturbed eigenstates are -), n-1, 2, 3, ... and the unperturbed eigenvalues are " sin 2mL a) Calculate the first order correction to the energy eigenvalues. Comment on your answer. b) Calculate the first order correction to the eigenstates IL Harmonic Oscillator:
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