Heisenberg Uncertanity Principle

DE BROGUE WAVELENGTH

Victure Broglie, motivated entirely by his symmetry argument, proposed that an electron of energy E and linear momentum ‘p’ could be defined by a matter wave whose wavelength and frequency are given by

in which h is the Planck’s constant. The wavelength of a moving particle calculated above is called its de Broglie wavelength.

Motion of objects such as marbles or cricket balls do not seem at all wave like.

HEISENBERG’S UNCERTAINITY PRINCIPLE

It states that it is not possible to measure, simultaneously, the position and the momentum of a particle, with unlimited precision. If ∆x is the uncertainty in position and ∆p is uncertainty in momentum then,

It is wrong to visualize a particle as a tiny mass point moving along a path, with its position and velocity well defined at every instant. The very notion of “trajectory” belongs to the Newtonian world, not to the quantum world.