An electron is trapped in a cubic 3D infinite well with 1nm sides. a. Verify that the electron's ground-state is normali
Posted: Fri Apr 29, 2022 10:59 am
An electron is trapped in a cubic 3D infinite well with 1nm
sides.
a. Verify that the electron's ground-state is normalized.
b. Calculate the probability of finding the electron in the
region
0<=x<=L/2, L/4<=y<=3L/4, 1/2<=z<=L
for the state (3,2,1).
c. calculate the energy of the two lowest energy levels of this
well. How many states have each energy?
d. What is the wavelength of the lowest-energy transition? What
kind of radiation is emitted?
sides.
a. Verify that the electron's ground-state is normalized.
b. Calculate the probability of finding the electron in the
region
0<=x<=L/2, L/4<=y<=3L/4, 1/2<=z<=L
for the state (3,2,1).
c. calculate the energy of the two lowest energy levels of this
well. How many states have each energy?
d. What is the wavelength of the lowest-energy transition? What
kind of radiation is emitted?