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## Homework Statement

According the the Uncertainty Principle, an electron of mass m when placed on a 'flat' tabletop will actually 'float' above the table i.e. the vertical position of the electron will be spread out over some distance.

Use the uncertainty principle to find an expression for the equilibrium average height that the electron floats above the table's surface in terms of m,g etc...

## Homework Equations

delta(p) x delta (y) >= h/(4*Pi)

## The Attempt at a Solution

I used the fact that F=mg=dp/dt and hence delta(p)= mg x delta(t)

Hence delta (y) >= h/(4*Pi*mg*delta(t))

Thus in determining the average height, the delta(t) will cancel, leaving us with :

Average y = h/(4*Pi*mg)

This however seems to be too easy a solution even though unit analysis verifies that it gives us distance.

N.B. I have used both * and x to refer to multiplication

Regards,

The Keck