|MadSci Network: Physics|
1) Why does Uncertainty Principle [(delta x) (delta p) >= (h bar)/2] contain 1/2? why is h bar divided by 2 but not by 1 or other constant (say, any number between 0 and 1)? why the total (product) uncertainty of a pair of two quantities like position and momentum must be greater than (h bar)/2 but not h/2, h, h bar/4, etc.? where does this 1/2 in the uncertainty relation come from? 2) and is 1/2 that appears in zero-point energy = ½hƒË is connected to 1/2 that appears in uncertainty principle? or do both 1/2 arise via the same mechanism? If so, or not so? how and why? 3) is spin -1/2 (particle/field like electron) connected to Uncertainty Principle? or connected to 1/2 in Uncertainty Principle or 1/2 in zero-point energy? If so, or not so, how and why? does 1/2 in 1) 2) 3) all arise or come from the behavior of some kind of wave? if so, what kind of wave(s)? how does this wave create all these properties / phenomena in 1) 2) 3)?
Re: Uncertainty Principle, zero-point energy, spin 1/2 -> connected?
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