An electron in a cube box of side length (a) is shed on both sides of a cube an electric field of intensity H = exE (E) where e is the charge of the electron and x is the x-coordinate of the electron inside the cube .. and that the eigenvalues and eigenvalues of a free electron in a cube-shaped box are length Rib (a) sin a a E, 2ma? 1- Calculate the amount of correction for first-order ground eigenvalues? 2- The ground eigenvalue of the electron is rounded to the first order

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An electron in a cube box of side
length (a) is shed on both sides of a
cube an electric field of intensity H =
exE (E) where e is the charge of the
electron and x is the x-coordinate of
the electron inside the cube .. and
that the eigenvalues and eigenvalues
of a free electron in a cube-shaped
box are length Rib (a)
w?(x) = s
|2
sin
a
a
En
n-
2ma?
1- Calculate the amount of
correction for first-order ground
eigenvalues? 2- The ground
eigenvalue of the electron is
rounded to the first order
Transcribed Image Text:An electron in a cube box of side length (a) is shed on both sides of a cube an electric field of intensity H = exE (E) where e is the charge of the electron and x is the x-coordinate of the electron inside the cube .. and that the eigenvalues and eigenvalues of a free electron in a cube-shaped box are length Rib (a) w?(x) = s |2 sin a a En n- 2ma? 1- Calculate the amount of correction for first-order ground eigenvalues? 2- The ground eigenvalue of the electron is rounded to the first order
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