3. The wavefunction of a certain quantum system is given by 1 V (x, t) = Ae--iEt/h, E = hw, where n = 1, 2, 3, .., w is a constant and -o < x < o. %3D (a) Show that mw1/4 A = (b) Compute Ar and Ap. [Recall: Aq = (q²) – (g)² ]

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3. The wavefunction of a certain quantum system is given by
mw
V (x, t) = Ae- 2-iEt/h
(2)
E
where n = 1, 2, 3, · .., w is a constant and -o <x <.
(a) Show that
[3]
A = ()
mw\ 1/4
(3)
(b) Compute Ax and Ap. [Recall: Aq = /{q?) – (a)² ]
[14]
1
Transcribed Image Text:3. The wavefunction of a certain quantum system is given by mw V (x, t) = Ae- 2-iEt/h (2) E where n = 1, 2, 3, · .., w is a constant and -o <x <. (a) Show that [3] A = () mw\ 1/4 (3) (b) Compute Ax and Ap. [Recall: Aq = /{q?) – (a)² ] [14] 1
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