I was trying to Go from the uncertainty principle to its energy-time counter part. i know the maths is a bit off,but the idea is correct?(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Energy-Time Uncertainty Relation

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