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A harmonic oscillator is in a state la) such that a measurement of the energy would yield either hw or hw with equal probability. (a) What is the largest possible value of = ? (b) If the system assumes this maximal value at time t= 0, evaluate (Ax)²> = 2 at time t. (c) Using the same state as in (b), evaluate (AH?> = -

A harmonic oscillator is in a state la) such that a measurement of the energy would yield either hw or hw with equal probability. (a) What is the largest possible value of = ? (b) If the system assumes this maximal value at time t= 0, evaluate (Ax)²> = 2 at time t. (c) Using the same state as in (b), evaluate (AH?> = -

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A harmonic oscillator is in a state la) such that a measurement of the energy would yield either hw or hw with equal probability. (a) What is the largest possible value of <x> = <alxla>? (b) If the system assumes this maximal value at time t= 0, evaluate (Ax)2> = <x2> -<x>2 at time t. (c) Using the same state as in (b), evaluate (AH²> = <H2 > - «Hi2 at time t.
Transcribed Image Text:A harmonic oscillator is in a state la) such that a measurement of the energy would yield either hw or hw with equal probability. (a) What is the largest possible value of <x> = <alxla>? (b) If the system assumes this maximal value at time t= 0, evaluate (Ax)2> = <x2> -<x>2 at time t. (c) Using the same state as in (b), evaluate (AH²> = <H2 > - «Hi2 at time t.
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