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A quantum particle confined to one dimensional potential well of width 1nm is in its ground state. What is the probability of finding the particle over an interval of 0.1nm at the center of box.

A quantum particle confined to one dimensional potential well of width 1nm is in its ground state. What is the probability of finding the particle over an interval of 0.1nm at the center of box.

Grade:10

1 Answers

Jayesh Vashishtha
askIITians Faculty 1450 Points
one year ago
Dear Student

To find the probability of finding the electron in the interval (0.45,0.55) you have to integrate mod(psi^2)ex where psi = root(2/a) * sin((n*π*x)/a) from 0.45 to 0.55.

The probability of finding the electron is 0.198363 or 19.8%

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Askiitians Expert
Jayesh Vashishtha

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