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Uncertainity in velocity

  1. Apr 14, 2013 #1
    If the uncertainity in position is equal to de broglies wavelength ..den is the uncertainity in velocity equal to the velocity itself????
    If yes how???
     
  2. jcsd
  3. Apr 14, 2013 #2

    mfb

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    ##\displaystyle \Delta x \Delta p \geq \frac{\hbar}{2}##. Let ##\displaystyle \Delta x = \lambda = \frac{h}{p}##, then ##\displaystyle \Delta p \geq \frac{\hbar}{2 \Delta x} = \frac{\hbar p}{2 h} = \frac{p}{4\pi}##.
    If the motion is non-relativistic, p=mv and ##\displaystyle \Delta v \geq \frac{v}{4\pi}##.
    Note that this is a lower limit on the uncertainty.
     
  4. Apr 14, 2013 #3
    So its v/(4*pi) ??
     
  5. Apr 14, 2013 #4
    All rite...thanks
     
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