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A particle in the ground state of the quantum harmonic oscillator has a wavefunction that can be written as found in image where a = mω/hbar , and where N, m and ω are all constants. For this particle: a)  Find an expression for the normalization constant N, in terms of a. b)  Derive an expression for the uncertainty in the momentum, ∆p. N.B. You may wish to refer to the Appendix when answering this question.

A particle in the ground state of the quantum harmonic oscillator has a wavefunction that can be written as found in image where a = mω/hbar , and where N, m and ω are all constants. For this particle: a)  Find an expression for the normalization constant N, in terms of a. b)  Derive an expression for the uncertainty in the momentum, ∆p. N.B. You may wish to refer to the Appendix when answering this question.

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A particle in the ground state of the quantum harmonic oscillator has a wavefunction that can be

written as

found in image

where a = mω/hbar , and where N, m and ω are all constants. For this particle:

  1. a)  Find an expression for the normalization constant N, in terms of a.

  2. b)  Derive an expression for the uncertainty in the momentum, ∆p.

N.B. You may wish to refer to the Appendix when answering this question.

(x) = N exp = N exp{-1/a2²},
Transcribed Image Text:(x) = N exp = N exp{-1/a2²},
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