cle moving in one dimension is in a station w (x) = A(1 + cos = A and a are real constants. Is this a physically acceptable wave functi Find the magnitude of 4 so that w(x) is n

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter8: Quantum Mechanics In Three Dimensions
Section: Chapter Questions
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Problem 4.1
A particle moving in one dimension is in a stationary state whose wave function
x <-a
w (x) = { A(1+cos ) -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 A 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 w (x) = { A(1+cos ) -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 A 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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