Heisenburg uncentainty product

  • Thread starter zak8000
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Homework Statement


Evaluate the heisenberg Uncertainty product (delta)p*(delta)x for any eigenstate of a particle confined to a box of width L
hints:
a] what do you expect <x> to be? justify this
b] what do you expect <p> to be? justify this
c] how is p^2 related to KE and to E for the particle?

im not really sure how to approach this question but am i correct if a take the wave function of a particle in well of length L and find its expected value of <x> and <p> and then take there product and compare it with the hysenburg uncertainty??

Homework Statement





Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
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[itex]\Delta x[/itex] is not the same thing as [itex]\langle x\rangle[/itex]. So you can't just take the product of the two expectation values. In fact the definition of the uncertainty of a value is:

[tex]\Delta x = \sqrt{\langle x^2 \rangle - \langle x\rangle^2}[/tex]
 

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