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etamorphmagus

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From the wikipedia page on http://en.wikipedia.org/wiki/Complementarity_(physics)" :

As I recently noticed in the double-slit experiment there is a lot of time-uncertainty, not only position-momentum uncertainty. That is shown in the fact that the probability wave does not reach the screen

I know this is always true: [tex]\Delta x \Delta p\approx h[/tex]

And this is true for particle decays: [tex]\Delta E \Delta t\approx h[/tex]

Is there something like this [tex]\Delta t \Delta x\approx h[/tex] or [tex]\Delta E \Delta t\approx h[/tex] or even this [tex]\Delta E \Delta t \Delta x \Delta p\approx h[/tex] ?!

Seems to be that there are 4 uncertainty

[PLAIN]http://img228.imageshack.us/img228/4797/89768410.gif

In a restricted sense, complementarity is the idea that classical concepts such as space-time location and energy-momentum, which in classical physics were always combined into a single picture, cannot be so combined in quantum mechanics. In any given situation, the use of certain classical concepts excludes the simultaneous meaningful application of other classical concepts. For example, if an apparatus of screens and shutters is used to localize a particle in space-time, momentum-energy concepts become inapplicable. This is reflected in the formalism in the fact that a localized wave-packet is a superposition of plane waves, and therefore does not have a definite energy-momentum. This reciprocal limitation in the possibilities of definition of complementary concepts corresponds exactly to the limitations of the classical picture, where any attempt at the localization of a particle through objects such as slits in diaphragms introduces the possibility of an exchange of momentum with those objects, which is in principle uncontrollable if those objects are to serve their intended purpose of defining a space-time frame. Another famous example is 'Heisenberg's microscope', using which Heisenberg first discovered his uncertainty relations.

As I recently noticed in the double-slit experiment there is a lot of time-uncertainty, not only position-momentum uncertainty. That is shown in the fact that the probability wave does not reach the screen

*gradually*, but*instantly*, for distribution purposes, to create interference with single-particles at a time, rather than a beam. So from this article I wonder, is there a relation on space-time uncertainty? Is there a relation of time-energy relation (in the double slit?)? And time-momentum etc? Instead of a pair of variables, quad-uncertainty??I know this is always true: [tex]\Delta x \Delta p\approx h[/tex]

And this is true for particle decays: [tex]\Delta E \Delta t\approx h[/tex]

Is there something like this [tex]\Delta t \Delta x\approx h[/tex] or [tex]\Delta E \Delta t\approx h[/tex] or even this [tex]\Delta E \Delta t \Delta x \Delta p\approx h[/tex] ?!

Seems to be that there are 4 uncertainty

*pairs*, anyhow:[PLAIN]http://img228.imageshack.us/img228/4797/89768410.gif

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