Can we change the inequality into equality in the Heisenberg's uncertainty principle?
Answers
Heisenberg uncertainty Principle was that momentum and position of a particle cannot be known simultaneously with precision. It means that if your observations precisely calculate momentum of a particle then there will always be uncertainty in its position. Marhematically it can be expressed as :-delta (X) x delta (p) >_ h/4pi m, where delta(x) denotes uncertainty in position, delta (p) denotes uncertainty in momentum “m” is the mass of particle and “h” is the plank’s constant. When we are calculating uncertainty using this formula we equate both sides even though inequality is provided in the formula. It is because we calculate the lowest uncertainty in position or momentum. That is, if all the instruments used in the observation are totally precise then the uncertainty will be given by the formula. Otherwise the uncertainty would be more as it would also include human error and mechanical error. But no instrument can be made totally precise, some errors are bound to occur. Thus in reality uncertainty will always be slightly greater than our calculated uncertainty from the formula.