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A particle moving in one dimension is in a stationary state whose wave function x < -a w (x) = { A(1+ cos 4) -a sx sa x > a where A and a are real constants. (a) Is this a physically acceptable wave function? Explain. (b) Find the magnitude of Á so that y (x) is normalized. (c) Evaluate Ax and Ap. Verify that Ax Ap 2 h/2. (d) Find the classically allowed region.

A particle moving in one dimension is in a stationary state whose wave function x < -a w (x) = { A(1+ cos 4) -a sx sa x > a where A and a are real constants. (a) Is this a physically acceptable wave function? Explain. (b) Find the magnitude of Á so that y (x) is normalized. (c) Evaluate Ax and Ap. Verify that Ax Ap 2 h/2. (d) Find the classically allowed region.

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Problem 4.1 A particle moving in one dimension is in a stationary state whose wave function x < -a A(1+ cos ) -a < x sa x > a w (x) = where A and a are real constants. (a) Is this a physically acceptable wave function? Explain. (b) Find the magnitude of Á so that w (x) is normalized. (c) Evaluate Ax and Ap. Verify that Ax Ap 2 h/2. (d) Find the classically allowed region.
Transcribed Image Text:Problem 4.1 A particle moving in one dimension is in a stationary state whose wave function x < -a A(1+ cos ) -a < x sa x > a w (x) = where A and a are real constants. (a) Is this a physically acceptable wave function? Explain. (b) Find the magnitude of Á so that w (x) is normalized. (c) Evaluate Ax and Ap. Verify that Ax Ap 2 h/2. (d) Find the classically allowed region.
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