Question

Chemistry 384, Problem Set #2 Due Friday, 2 February 2018 For the (hypothetical) wavefunction Y, (x) = exp(-r2) (a) What does the subscript denote? (b) Sketch a plot of the wavefunction. Does this function have the right mathematical properties to 1. qualify as a wavefunction? (c) Sketch a plot of the probability density,野(x), what does the area under the curve you plotted d) Using your graphs, determine the mean value of the (position) coordinate x in the state corresponding to Y. e) How would you determine the answer to part (d) analytically (e.g. using postulate 4). What is the indeterminacy Δ v for the velocity v of an electron if the indeterminacy in its position x, 2. , is 75 pm? 3. Use the recipe discussed in lecture to detemine an expression for the quantum mechanical operator that corresponds to the classical expression for the Beck opeator, Bxp, the product of the position r and the momentum p.

Answer 1

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