1. Consider a wave function of Lorentzian form, i.e., 1 (x): = x² + a² a) What are < > and Ax? b) What are < p > and Ap? c) Compare with the uncertainty relation.
1. Consider a wave function of Lorentzian form, i.e., 1 (x): = x² + a² a) What are < > and Ax? b) What are < p > and Ap? c) Compare with the uncertainty relation.
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Transcribed Image Text:1. Consider a wave function of Lorentzian form, i.e.,
1
Fran
x² + a²
(x)
=
a) What are <x> and Ax?
b) What are <p> and Ap?
c) Compare with the uncertainty relation.
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Step 1: Determine the given data:
VIEWStep 2: (a) Calculate expectation value of x:
VIEWStep 3: (a) Calculate expectation value of x^2:
VIEWStep 4: Calculate the value of delta x:
VIEWStep 5: (b) Calculate the expectation value of p:
VIEWStep 6: Calculate the expectation value of p^2:
VIEWStep 7: Calculate delta p:
VIEWStep 8: c) Compare with the uncertainty principle:
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