A quantum harmonic oscillator of mass m is in the ground state with classical tu

Question

A quantum harmonic oscillator of mass m is in the ground state with classical turning points at ± A.

(a) With the mass confined to the region x 2A, compute p for this state.
1. h
2. 2A
3. h/2A
4. 1/2A

(b) Compare Ek (the kinetic energy implied by p) with Etot (the ground-state total energy). Ek/ Etot =
1. 1/2
2. 1/4
3. 4
4. 2

(c) Compare Ek (the kinetic energy implied by p) with < Ek > (the expectation value of the kinetic energy in the ground state). Ek/ <Ek> =
1. 1/4
2. 1/2
3. 4
4. 2

Explanation / Answer

(a) 3 (b) 2 (c) 2

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