a. Write down the energy eigenfunctions for a particle in an infinitely deep one- dimensional square well extending from z = −L/2 to z = +L/2 b. Check that they are eigenfunctions of parity operator (that maps z → −z) corresponding to the eigenvalue (−1)n-1, where n labels the energy level.
a. Write down the energy eigenfunctions for a particle in an infinitely deep one- dimensional square well extending from z = −L/2 to z = +L/2 b. Check that they are eigenfunctions of parity operator (that maps z → −z) corresponding to the eigenvalue (−1)n-1, where n labels the energy level.
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![a. Write down the energy eigenfunctions for
a particle in an infinitely deep one-
dimensional square well extending from
z = -L/2 to z = +L/2
b. Check that they are eigenfunctions of
parity operator (that maps z → −z)
corresponding to the eigenvalue (-1)n-1,
where n labels the energy level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7884b924-5cdd-48a3-9dc8-094cb1f0ef41%2F0c2e21d8-c07e-45c2-9550-55fe5e1976ee%2Frambbw7_processed.png&w=3840&q=75)
Transcribed Image Text:a. Write down the energy eigenfunctions for
a particle in an infinitely deep one-
dimensional square well extending from
z = -L/2 to z = +L/2
b. Check that they are eigenfunctions of
parity operator (that maps z → −z)
corresponding to the eigenvalue (-1)n-1,
where n labels the energy level.
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