A particle of mass m has the wave function

where A and a are positive real constants.
(a) Find A.
(b) For what potential energy function, V(x), is this a solution to the Schrödinger equation?
(c) Calculate the expectation values of x,x²_, p, and p².
(d) Find σ_x and σ_p . Is their product consistent with the uncertainty principle?

Transcribed Image Text:

4 (x, 1) = Ae¯ª[(mx²/h)+it]