For the ground-state of the quantum2harmonic oscillator, (x)(a) Normalize the wavefunction.= e-X2ħwavefunction having a = (mk22,(b) For the normalized ↓(x), find (x), (x²), (p), and (p²).2α(c) Determine AxAp for the ground-state1/4Doesthis satisfy the Heisenberg UncertaintyPrinciple? Explain.

Answered: Image /qna-images/answer/85b2c7bc-b8b7-41ff-a1a3-bfa708db066a.jpg

For the ground-state of the quan 2 oscillator, (x) = e alize the wavefunction. e normalized ¥(x), find (x), (x“; mine AxAp for the ground-state 1/4 tion having a 2x² = 2 ħ² mk Doe y the Heisenberg Uncertainty Explain.

For the ground-state of the quan 2 oscillator, (x) = e alize the wavefunction. e normalized ¥(x), find (x), (x“; mine AxAp for the ground-state 1/4 tion having a 2x² = 2 ħ² mk Doe y the Heisenberg Uncertainty Explain.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter6: Quantum Mechanics In One Dimension

Section: Chapter Questions

Problem 34P

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Question

For the ground-state of the quantum
2
harmonic oscillator, (x)
(a) Normalize the wavefunction.
= e
-X
2
ħ
wavefunction having a = (
mk
2
2,
(b) For the normalized ↓(x), find (x), (x²), (p)
, and (p²).
2α
(c) Determine AxAp for the ground-state
1/4
Does
this satisfy the Heisenberg Uncertainty
Principle? Explain.

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