for de Broglie waves
for de Broglie waves
for de Broglie waves
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• Uncertainty principle<br />
* wave group narrower particles<br />
position precise.<br />
However, λof <strong>waves</strong> in a narrow packet is<br />
not well <strong>de</strong>fined<br />
∵λ=h/mv ∴ P is not<br />
precise<br />
* A wi<strong>de</strong> wave group clearly<br />
<strong>de</strong>finedλ but position is not certain<br />
Figure3.12 (a) A narrow <strong>de</strong> <strong>Broglie</strong> wave group. The position of the particle can be precisely<br />
<strong>de</strong>termined, but the wavelength (and hence the particle’s momentum) cannot be established<br />
because there are not enough <strong>waves</strong> to measure accurately. (b) A wi<strong>de</strong> wave group. Now the<br />
wavelength can be precisely <strong>de</strong>termined but not the position of the particle.<br />
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