- 2 Consider An Electron Located In A One Dimensional Potential Energy Well Box With Infinitely High Walls The Energy O 1 (112.43 KiB) Viewed 10 times
2 Consider an electron located in a one-dimensional potential-energy well (box) with infinitely high walls. The energy of the electron inside the well is U = 0 and outside n, TX the well U = 0. The wave function describing this system is yn(x) = A sin a - for 0 sxsa and yn(x) = 0 otherwise. a. Draw a sketch of the energy level E2 and superimpose plots of y2(x) and y2(x) | 2 on the energy level E2. b. What is the probability to find an electron in the energy level E2 (n = 2) at x = = a) in the one dimensional well? 2 c. Draw a sketch of the energy levels Ej and E2 and superimpose plots of y1(x) and y2(x) on the respective levels. d. Draw a sketch of the energy levels E1, E2 and E3 and superimpose plots of y3(x) and | y3(x)/2 on the energy level E3. e. What is the probability to find an electron in the energy level E3 (n = 3) near the = center of the one dimensional well (at x = )? 2 2 a f. Draw a sketch that shows the probability to find an electron in the energy level 3a E2 at the position x. Give the value of the probability at x = 4