Determine the values of x=(x 2 x 2 ) 1/2 and p=(p 2 p 2 ) 1/2

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Determine the values of Δx=(〈x2〉−〈x〉2)1/2 and Δp=(〈p2〉−〈p〉2)1/2 for the ground state of

(a) A particle in a box of length L

(b) An harmonic oscillator. Discuss these quantities with reference to the uncertainty principle.

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