*Problem A particle of mass m is in the state ¥(x, 1) = Ae¯allmx² /h)+ir]. where A and a are positive real constants. (a) Find A. (b) For what potential energy function V (x) does V satisfy the Schrödinge equation? (c) Calculate the expectation values of x, x², p, and p². р, (d) Find Or and Is their product consistent with the uncertainty principle?
*Problem A particle of mass m is in the state ¥(x, 1) = Ae¯allmx² /h)+ir]. where A and a are positive real constants. (a) Find A. (b) For what potential energy function V (x) does V satisfy the Schrödinge equation? (c) Calculate the expectation values of x, x², p, and p². р, (d) Find Or and Is their product consistent with the uncertainty principle?
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![*Problem A particle of mass m is in the state
¥ (x, t) = Ae¬a[(mx²/h)+ir]_
where A and a are positive real constants.
(a) Find A.
(b) For what potential energy function V (x) does V satisfy the Schrödinger
equation?
(c) Calculate the expectation values of x, x², p, and p2.
(d) Find ox and op. Is their product consistent with the uncertainty principle?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f018dc0-ac1d-4555-acab-f8a5bc87fd74%2F130a10de-e0fc-4c9e-8ff8-bddc09ff52e3%2Fjdi5aje_processed.jpeg&w=3840&q=75)
Transcribed Image Text:*Problem A particle of mass m is in the state
¥ (x, t) = Ae¬a[(mx²/h)+ir]_
where A and a are positive real constants.
(a) Find A.
(b) For what potential energy function V (x) does V satisfy the Schrödinger
equation?
(c) Calculate the expectation values of x, x², p, and p2.
(d) Find ox and op. Is their product consistent with the uncertainty principle?
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