Uncertainity Principle

The position and momentum of the particle cannot be measured simultaneously with arbitrarily high precision. There is a minimum for the product of the uncertainties of these 2 measurements. There is similarly a minimum for the product of the uncertainties of the energy and time.Quantum mechanics is usually regarded as the physical theory which is our best candidate for the fundamental and universal description of the physical world. The conceptual framework employed by this theory varies drastically from that of classical physics. Indeed, transition from the classical to quantum physics marks a genuine revolution in our understanding of the physical world.

One striking aspect of the difference between classical and quantum physics is that whereas classical mechanics presupposes that exact simultaneous values is assigned to all the physical quantities, quantum mechanics denies this possibility, the prime example being the position and momentum of a particle. According to the quantum mechanics, the more precisely the position of a particle is given, the less precisely can one say what its momentum is? This is the quantum mechanical uncertainty principle for position and momentum. The uncertainty principle played an important role in many discussions on the philosophical implications of quantum mechanics, in particular in discussions on the consistency of the so-called Copenhagen interpretation, the interpretation endorsed by the founding fathers Heisenberg and Bohr

This is not a statement about inaccuracy of the measurement instruments, nor a reflection on the quality of experimental methods; it arises from the wave properties inherent in the quantum mechanical description of nature. Even with the perfect instruments and technique, the uncertainty is inherent in the nature of things.The uncertainty relation describes the "blur" among the measurable quantities of a particle in the mathematical terms. Like much of the math in quantum theory, it is not for the faint of heart, which is to say it is unintelligible to most people completely.