Wednesday, October 19, 2011

Quantization of Quantum Mechanics

Quantization is the situation where physical quantities such as position, energy and momentum can only have certain discrete values. In free empty space these values are continuous but if a particle is bound to an area of space these properties can only have certain discrete values. The energy contained in a given frequency of electromagnetic waves is quantized in that it always has the same value at the same frequency. The electromagnetic energy is found in discrete packet called photons.

The quantization of the energy of an electron inside an atom explains much of the behavior of atoms such as why atoms emit only discrete frequencies of light. An electron that is in a low orbit of an atom can absorb a photon causing the electron  to jump to a higher orbit. The electron then emits a photon jumping back to the lower orbit.

The quantization of space-time is based on two of Max Planck’ natural units that are based on five universal physical constants: Gravitational constant, Reduced Planck constant, Speed of light in a vacuum, Coulomb constant, and Boltzmann's constant  The two with physical significance are Planck Length and Planck Time are the smallest possible measurements of space-time according our current understanding of the laws of Physics because of the  uncertainty principle when a plied to these scales. This suggests that time and space themselves are Quantized.

Planck Length is the smallest measurement of length that has any meaning with in the laws of physics as we understand them today. The value of Planck Length is1.616 252 × 10−35 m

Planck Time is the amount of time it takes a photon to cross a Planck Length. It is the smallest measurement of time that has any meaning with in the laws of physics as we understand them today. The value of Planck Time is 5.391 24 × 10−44 s
Quantization requires physical quantities like position, energy and momentum to have discrete values explaining much of what goes on in side atom and based on our current understanding of the laws of physics it suggest that time and space are quantized.