Question

In: Physics

*One dimensional infinite potential well - probability at a location An electron moving in a one-...

*One dimensional infinite potential well - probability at a location

An electron moving in a one- dimensional infinite square well of width L is trapped in the n = 1 state. Compute the probability of finding the electron within the "volume" ?x = 0.019 L at 0.55 L to three decimal places.

Solutions

Expert Solution

When an electron moving in a one- dimensional infinite square well of width L (let walls are placed at x=0 &x=L) is trapped in the nth state, the corresponding wave function for the particle is

for n=1,

the complex conjugate of the corresponding wave function is

The probability of finding the electron within the "volume" ?x = 0.019 L to x=0.55 L is given by

  


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