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 Schrdinger equation (c) Calculate the expectation values of x,x 2 , p, and p 2 (d) Find x and p Is their product consistent with the uncertainty principle 4 (x, 1) Ae (mx h) it

Question: 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

A particle of mass m has the wave function

4 (x, 1) = Ae[(mx/h)+it]

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?

4 (x, 1) = Ae[(mx/h)+it]

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