Problem 2.11 (a) Compute (x). (p). (x2), and (p²), for the states o (Equation 2.60) and ₁ (Equation 2.63), by explicit integration. Comment: In this and other problems involving the harmonic oscillator it simplifies matters if you introduce the variable = √/mw/h.x and the constant a = (mco/xh)¹/4 (b) Check the uncertainty principle for these states. (c) Compute (7) and (V) for these states. (No new integration allowed!) Is their sum what you would expect?

Problem 2.11 (a) Compute (x). (p). (x2), and (p²), for the states o (Equation 2.60) and ₁ (Equation 2.63), by explicit integration. Comment: In this and other problems involving the harmonic oscillator it simplifies matters if you introduce the variable = √/mw/h.x and the constant a = (mco/xh)¹/4 (b) Check the uncertainty principle for these states. (c) Compute (7) and (V) for these states. (No new integration allowed!) Is their sum what you would expect?