Answer to Question #188427 in Quantum Mechanics for Revsns

Question #188427

The wave function for a certain particle is 𝛹 = 𝐴cos2π‘₯ π‘“π‘œπ‘Ÿ βˆ’ πœ‹

2 < π‘₯ < πœ‹

2

Find the value

of A.


1
Expert's answer
2021-05-09T15:03:04-0400

𝛹 = 𝐴cos2π‘₯ π‘“π‘œπ‘Ÿ – πœ‹/2 < π‘₯ < πœ‹/2

Using normalization conditionΒ Β Β Β Β Β Β Β [ lower limit =– πœ‹/2, upper limit = πœ‹/2]

"\\smallint"|𝛹|2Β dx =1

A2Β "\\intop"cos22xdx =1

A2"\\smallint"(1+cos4x) dx =2

A2Β [x] =2

A2Β [πœ‹]=2

A2Β πœ‹ =2

Β Β Β Β (ANSWER)


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