Tuesday 14 April 2015

Heisenberg's uncertainty principle

Heisenberg's uncertainty principle is the the principle that describes he dual nature of matter. The conjugate properties of matter if we try to measure, there will an uncertainty happen to measuring both properties simultaneously. Conjugate properties are these properties these are independent. For an electron the conjugate properries are position and momentum. According to principle of uncertainty the two conjugate properties cannot measure simaltaneously. Hence, according to uncertainty it is imposible to measure position and momentum of the electron simultaneously. If one of the property can measures certainly then other property will become uncertain in measurement and determinition. Let, position of the electron can accurately measure then the momentum will be uncertain. The product of the uncertainty of position and the uncertainty of the momentum is equal and greater than the value planks constant, h devided by the double of 3.14. The Heisenberg uncertainty equation shows that the increasing the uncertainty of measuring position decreases the uncertainty of measuring momentum. As same as if the uncertainty of measuring momentum is very high then the uncertainty of measuring position will be very small. For larger matter the uncertainty will be negligible. The uncertainty of an  electron may be noticeable, but the uncertainty of a one kg stone is negligible. This for the cause of mass. Momentum is the product of mass and velocity. If mass is very big the uncertainty will be verry small and negligible. Why it is impossible to measure momentum and position of electron is quite impossible simaltaneously? Just consider you are trying to measure the position of an electron. A supermicroscope is taken to do this. Only the condition of seeing any object is photon must fall into it and a light must have to reflect from the surface of this object. In electron when in any moment if photon strike electron, at that moment electron changes its momentum

With the emergence of particle physics, besides of electron, proton, neutron another elementary particles have been discovered. There have 12 elementary particles in our universe including last discovered elementary particle higgs boson by CERN scientist that was previously predicted by standard model of particle physics.  These elementary particles such as electron, proton, neutron, lepton and quarks shows the uncertainty.

According to Heisenberg uncertainty principle it is quite impossible to determine the position and momentum simultaneously.

The mathematical relationship of Heisenberg's uncertainty principle is as below,

Uncertainty involved in the position × Uncertainty involved in momentum > h÷2π

Or

Uncertainty of podition × Uncertainty of Momentum = h÷2π

In above relationship h is planks constant

From the above relationship it is found that uncertainty of position and uncertainty of momentum is inversely proportional to each other. That means is one uncertainty be very large then uncertainty of others will be very low.

Just condider a particle just like electron that moves approximately with a speed of light. Inthat case this should be possible of gaining ount of momentum in normal scence. In that case the uncertainty of the position of the electron will be very high.


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