Question

A one-dimensional impenetrable box of length a contains an electron that suffers a small perturbation and...

A one-dimensional impenetrable box of length a contains an electron that suffers a small perturbation and emilts a photon frequency

v=3E1/h

where E1 energy of the grounfd state. From this would it be correct to conclude that the initial state of the electron is the n = 2 box state? why or why not?

Science   Advanced-Physics   
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Answer #1

The energy levels of the electron in the impenetrable box(also known as infinite potential well) are

where is the energy of the ground state which has the quantum number

The state has energy

When the electron is initially in the state and jumps down to the state, it releases a photon that has energy

The frequency of the photon is

Thus the conclusion is correct that the initial state of the electron is the n = 2 box state and it jumps down to the ground state.

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