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EnergyTime Uncertainty Relation 
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#1
Dec512, 01:25 PM

P: 42

I was trying to Go from the uncertainty principle to its energytime counter part. i know the maths is a bit off,but the idea is correct?
dx=position p=momentum e=energy [itex]\upsilon[/itex]=frequency [itex]\lambda[/itex]=wavelength c=velocity of electromagnetic radiations dt=time now , [itex]\lambda[/itex]=h/p.............(i) c=[itex]\upsilon[/itex].[itex]\lambda[/itex].............(ii) e=h.[itex]\upsilon[/itex] e=(h.c)/[itex]\lambda[/itex] replacing [itex]\lambda[/itex]'s value here from (i) e=(h.c)/(h/p) e=c.p now c = velocity of light , it can be written as dx/dt e= (dx/dt).p multiplying by dt on both sides e.dt=(dx/dt).dt.p e.dt=dx.p Therefore frome this relation if we straight away incorporate this in place of the σx.σp≥h/4π cannot we get σe.σt≥4π 


#2
Dec512, 01:33 PM

P: 32




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