Consider the following wave functions (1) y(x) = 4-e-x²13 1 x² +2 (2) y(x) = B.- (3) y(x) = C-sech( In each case, (a) normalize the wave function, (b) plot the wave function, (c) find the probability that the particle is measured to be in the range 0

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5 Consider the following wave functions
(1) y(x) = 4-e-*²13
1
x² + 2
(2) y(x)= B..
(3) y(x)=C-sech(-
= C-sech()
In each case, (a) normalize the wave function, (b) plot the wave function, (c) find the
probability that the particle is measured to be in the range 0<x< 1, and (d) compute its
Fourier transform.
Transcribed Image Text:5 Consider the following wave functions (1) y(x) = 4-e-*²13 1 x² + 2 (2) y(x)= B.. (3) y(x)=C-sech(- = C-sech() In each case, (a) normalize the wave function, (b) plot the wave function, (c) find the probability that the particle is measured to be in the range 0<x< 1, and (d) compute its Fourier transform.
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