A free electron is trapped in an infinite well of width L. a- Give the Schrödinger...

A free electron is trapped in an infinite well of width L.

a- Give the Schrödinger equation which describes the movement of the electron.

b- Show that Ψ (?) = ???? (nπx/L ) is a solution of this equation

c- Show that ? = √2/L

d- What is the average position of the electron

e- What is the most likely position if n = 3

f- What is the average kinetic energy for n = 3

g- What is the average momentum for n = 3

h- What is the probability of finding the electron between x = 0 and x = (L / 2) for n = 3

Expert Solution

genius_generous answered 2 years ago

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