11/07/2015

Quantum vs. Classical

When we look at physics there are various theories and ideas. In this post we will look at the limits of Classical Mechanics and how Quantum Mechanics can fill in the gaps that Newtonian Mechanics (another name for Classical Mechanics) seems to have left open or unexplained.

Blackbody Radiation:

To understand this concept the first thing to know is that everything that has a temperature above absolute zero will release light – even pitch black objects (their light is created by blackbody radiation).

Classical Mechanics approached blackbody radiation by stating that light is formed by waves that are made via vibrations. The hotter the object, the more the kinetic energy, or the faster  the vibration of electrons resulting in the production of more light. This all makes perfect sense; however, the picture posted directly under the title of this section is where classical mechanics falls short. According to classical mechanics all frequencies have the same energy. This is wrong as we can see when we look at the picture of the experimentally calculated values. So, how does this make any sense? Bring in quantum mechanics! We talked about Planck’s constant so now we are going to talk about the man behind this number, Max Planck. Planck came up with a quantum (or in layman terms a group of energy), the size of any quantum is dependent on the vibrating frequency of the electrons.

His equations:  energy = Planck’s constant x frequency

The explanation: the energy of the electron can be multiplied by any integer but the electron needs to have at the minimum one quantum of energy to vibrate. Without this single quantum of energy the thing will NOT light up. Going back to the picture, the higher frequencies have too much quantum energy so the vibrations are unable to actually commence!

Hydrogen Atom:

Everybody asks about the good old hydrogen atom in grade ten chemistry since it has properties of both metals and non–metals but today we are going to go deeper into the 'simplest' little atom. Hydrogen is a diatomic gas and when it is heated it will glow (aka release light). It does not however come from blackbody radiation; it comes in red, blue/green and purple wavelengths. Hydrogen is made of one proton and one electron and the electron orbits the nucleus simply due to the attraction between the positive proton and the negative electron.


This is when the classical physicists strayed from the facts; they said that the electron is in a continual state of changing directions and this allows for the light to be emitted. The problem is that this means that the electron is always losing energy – actually losing all its energy, falling from its orbit until it is on top of the proton (this would effectively kill the atom). Of course we know this is wrong. Another scientist that was already mentioned in a previous post is Niels Bohr. Bohr came up with the factual explanation – he came up with the idea that the electron must orbit the proton at specific orbits which enables a specific radius and energy. Bohr then came up with the idea that actually saved countless hydrogen atoms (not really but he did prevent us from believing that hydrogen atoms lasted only a fragment of a second). The idea is that when the electron stays in one of its specified orbits it cannot release energy (produce light) – his explanation produced the calculations for the wavelengths of the colours described above for the Hydrogen atom.

Now, we discussed this before (in a previous post) but let’s reiterate. Bohr explains that electrons will produce light if they are able to fall from greater orbits. We said that this produces a photon with the energy that is lost when the electron falls. * This goes along with the idea of conservation of energy since the energy is never really lost just transferred to a photon.  Photons can then be used as energy sources to allow for the electrons of other atoms to jump to greater orbitals; all the photon has to do is strike the atom and bam the electron is propelled to a greater orbit – this is what is labelled a quantum jump.

Generally Speaking:
Classical:
  •         Predictable, using math and logic to solve problems. The extrapolation of something small to something on a larger scale.
  •          Matter makes up the universe – matter is made of particles
  •          Perception is limited to what a person can hear, see, smell, touch, taste – if it doesn’t fit into one of these categories it is irrelevant or simply fictional 
Quantum:
  •          Energy is the basis of everything – even us!
  •           Only energy is key - matter is simply energy 
  •         There are only possibilities and observations; when observed the possibilities dissipate and the observation becomes the reality (or more simply put observation is necessary for there to be reality)
  •          Electron orbits represent the location of electrons relative to a nucleus, there is no set path or pattern for electron movement
  •          Electrons can be in more than one place at a given time
Websites Consulted:
http://www.micromountain.com/assets/newhanim3.gif
http://resourcefullife.net/newtonian-vs-quantum-mechanics-perspectives/