*Problem 1.9 A particle of mass m is in the state (x, 1) = Ae¯a[(mx²/h)+it] where A and a are positive real constants. (a) Find A. (b) For what potential energy function V(x) does satisfy the Schrödinger equation? (c) Calculate the expectation values of x, x², p, and p².

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*Problem 1.9 A particle of mass m is in the state
(x, t) = Ae¯a[(mx² /h)+it]
where A and a are positive real constants.
(a) Find A.
(b) For what potential energy function V(x) does satisfy the Schrödinger
equation?
(c) Calculate the expectation values of x, x², p, and p².
Transcribed Image Text:*Problem 1.9 A particle of mass m is in the state (x, t) = Ae¯a[(mx² /h)+it] where A and a are positive real constants. (a) Find A. (b) For what potential energy function V(x) does satisfy the Schrödinger equation? (c) Calculate the expectation values of x, x², p, and p².
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