At time t = 0 a particle is described by the one-dimensional wave function 1/4 (,)=(a)”. e-ikre-ar² where k and a are real positive constants. Verify that the wave function (x, 0) is normalised. Hint: you may find the following standard integral useful: P dr = √√√,

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At time t = 0 a particle is described by the one-dimensional wave function
1/4
(a,0) = (²ª) e-ikre-ar²
where k and a are real positive constants.
Verify that the wave function (r, 0) is normalised.
Hint: you may find the following standard integral useful:
Loze
-2² dx = √,
Transcribed Image Text:At time t = 0 a particle is described by the one-dimensional wave function 1/4 (a,0) = (²ª) e-ikre-ar² where k and a are real positive constants. Verify that the wave function (r, 0) is normalised. Hint: you may find the following standard integral useful: Loze -2² dx = √,
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