An electron is in a field of potential energy V(x) = Vo(1- e) where a and Vo are positive constants. a. Sketch the potential energy b. Write the time-independent Schrodinger equation of the electron c. For E < V, what will be the value of the wavefunction at x = to0?

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An electron is in a field of potential energy
V(x) = Vo(1 - ea)
where a and Vo are positive constants.
a. Sketch the potential energy
b. Write the time-independent Schrodinger equation of the electron
c. For E < Ve what will be the value of the wavefunction at x = too?
d. For E < Vo find the classical turning points in terms of E, Vo, a
e. What are the parities of the eigenfunctions of the third, fourth and fifth excited states?
f. For E < Vo draw horizontal lines representing energy eigenvalues and sketch the eigenfunctions
corresponding the ground state, the first excited state and the second excited state in the same sketch of
the potential energy (your sketches of the eigenfunctions should reflect the behavior of the function for
Transcribed Image Text:..... An electron is in a field of potential energy V(x) = Vo(1 - ea) where a and Vo are positive constants. a. Sketch the potential energy b. Write the time-independent Schrodinger equation of the electron c. For E < Ve what will be the value of the wavefunction at x = too? d. For E < Vo find the classical turning points in terms of E, Vo, a e. What are the parities of the eigenfunctions of the third, fourth and fifth excited states? f. For E < Vo draw horizontal lines representing energy eigenvalues and sketch the eigenfunctions corresponding the ground state, the first excited state and the second excited state in the same sketch of the potential energy (your sketches of the eigenfunctions should reflect the behavior of the function for
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