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?
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