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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.

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.
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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