Contents
The Double Slit Experiment
Quantum Optics
Heisenberg's Uncertianty Principle
Schrödinger's Cat
Quarks
The Double-Slit Experiment
What is Quantum Mechanics? |
Simply put, quantum mechanics is the
science of the very small. This includes
atoms and sub-atomic particles.
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This is the experiment that lays the groundwork for understanding the bizarre behavior of quantum mechanics. Be prepared to question the results, because they challenge our every-day perception of reality. But countless repeated experiments have confirmed them, and quantum mechanics now appears to explain them.
The experiment was first performed by Thomas Young in 1800, but has been repeated countless times since then. The basic setup, which is usually modified is as follows:
A slit is made in an opaque sheet. This makes only one thin light source. Another sheet is set up behind the original, this with two slits. What would you expect the pattern on a final sheet to be? Two vertical columns, probably. This is not the case. In fact, there are actually several bands of light. This in itself is not remarkable. The same pattern is created with waves: when a high wave and trough combine, they cancel each other out. So this seems to prove that light is a wave. Recent advances have shown that light can be either. When a photon gun, which fires individual electrons, is aimed at the sheet, the results require quantum mechanics to interpret.
The photon gun is slowed to fire one photon at a time. What would you expect? Again, probably two individual columns. This would be the case if the experiment was a machine gun shooting through a brick wall. Instead, the same pattern as a wave of light is created. How can a single particle create the same pattern as waves? The answer is made with the Copenhagen Interpretation, now the standard of quantum theory. In essence, the interpretation states that the photon is a wave function that collapses when observed. (A photon is both a particle and a wave). This does not merely applie to light. Electrons and other elementary particles observe the same rules. Another theory is called the Multiverse. It basically states that each photon forms a part of a myriad of photons that condense when observed. The other photons are vanquished to an infinte amount of other universes.
If you can understand the basic theory behind the double slit experiment, then you are well prepared for the other mysteries of the quantum world.
Quantum Optics
The major diference between quantum optics and classical optics is the description of light. Classical physicists debated whether light was a wave or a particle for decades. Finally, after evidence from Christian Huygens, classical physicists decided that light was a wave. Quantum optics, however, treats light as if it is both a wave and a particle. It relies heavily on lasers.
What does 'LASER' stand for? |
Light Amplification by
Stimulated Emission of Radiation.
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Lasers are a device which rely on the principles of quantum mechanics. You can probably find information on how a laser works at How Stuff Works. The basic idea is that a laser provides a wave of light with aligned wave crests. The other major tool of quantum optics is fiber optics. These are truly neat materials. The basic idea of fiber optics is based on the fact that if light approaches the interface between two materials at a certain angle, it is reflected back into the material. This is called "total internal reflection". Fiber optics are fibers where this occurs: light is shined inside the clear fibers at a certain angle, and bounces down the entire cylinder. If you bend the fiber, this still occurs. Fiber optics can allow people to bend light!
The uses of of quantum optics are myriad. Arthroscopic surgery, for example, is the insertion of a fiber optic cable into bodies to observe the inside, rather than cutting open the body. In telephones, long sound waves are turned into short light waves and carried through fiber optic cables. This allows more signals through thinner cables. Lasers are used to cut metal and correct eye problems. As you can tell, the field of quantum optics is the exciting combination of quantum mechanics and optics.
Heisenberg's Uncertainty Principle
The principle that lays the framework for all of quantum theory is Heisenberg's Uncertianty Principle. In its essence, the principle states that the position and momentum of a particle cannot ever be known exactly. They are inversely proportional. Many people, even physicists misunderstand this. It is not that we cannot determine the position of, say, an electron because our measurements are not precise enough, but that the elictron itself does not know its position and momentum. Remember, momentum refers to both speed and direction. The effects of this simple equation are incredible.
What is the exact equation? |
Dx × Dp = h/2pi
Dx = Position Spread
Dp = Momentum Spread
h = Planck's constant
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The Uncertainty principle opposes Newtonian physics. Newton, who developed the basic theory of gravity in Principia, thought that if we had a powerful enough computer we could determine the position and momentum of every particle and predict the future. But with the Uncertainty Principle, it is impossible to predict the future.
Schrödinger's Cat
Perhaps one of the most famous anecdotes of quantum mechanics involves Schrödinger's Cat. Although many people have heard of the topic before, few actually realize what the experiment is and what its effects are.
Suppose that a cat is placed into a magical type of box. This box disallows any type of communication between inside and outside once it is closed. Now place in the box a small portion of radioactive substance, a Geiger counter (detects radioactive particles), and a beaker full of poisonous gas. The radioactive material is precisely enough to trigger detection 50% of the time. If the radioactive substance is detected by the counter, the beaker breaks, killing the cat. Otherwise, the cat remains fine. Once the allotted time has passed, the box is opened up and the cat is either dead or alive. But before that, the quantum state of the cat is dead and alive.
This is completely allowable based on quantum rules. Schrödinger thought up this hypothetical experiment as an argument against wave/particle duality (see the Double Slit Experiment). He thought that a cat could only be dead or alive. But it turns out that quantum mechanics allows dead-alive creatures. However, it is important to realize that observation forms the basis for this experiment. At what point does observation stop the collapse of the dead and alive creatures? Eugene Wigner thought deeply about this point, and a human in the box is referred to as "Wigner's Friend".
Quarks
What are the properties of quarks? |
Spin and color are two properties of quarks. Neither has any connection to the normal definition, but the color of quarks can be red, green or blue, while the spin can be either clockwise or counterclockwise. The property of spin resembles magnetism in the macroworld. Finally, the charge of quarks is fractional: +2/3 or -1/3.
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The most elementary particle known is a quark. Quarks are unbelievably small. If you know how large a proton is, then you can imagine something less than 1/3 as small. If you don't know how small a proton is, just imagine tens of thousands of them in the period at the end of this sentence. There are six kinds of quarks, each with its own properties and weights they are: "Up, down," "top, bottom," "strange and charmed". Notice the quotation marks. Each set of quotation marks denotes a "generation" of quarks.
Flavor | Mass(GeV/c²) | Electrical Charge |
Up (u) | .005 | +2/3 |
Down (d) | .01 | -1/3 |
Charm (c) | 1.5 | +2/3 |
Strange (s) | .2 | -1/3 |
Top (t) | 180 | +2/3 |
Bottom (b) | 4.7 | -1/3 |
As you probably know, quarks compose hadrons: large subatomic particles, including neutrons and protons. Protons are made of two up quarks and one down quark (2/3 + 2/3 - 1/3 = 1); neutrons consist of two downs and one up (Just add up the charges, and you'll find that neutrons are neutral). Other hadrons have varying compositions. This means that up and down quarks are both fairly common. The rarest quark is the top quark, which was discovered in 1995. It is extremely heavy and took years to merely get the data. After it was acquired, physicists and computers had to analyze the reams of resulting information for more than a year.
The origin of the humorous name "quark" is even more interesting. In 1964, Murray Gell-Mann and George Zweig independently deiscovered the quark and Gell-Mann decided on the term quark out of a poem that said "three quarks for Muster Mark." Since then, admittedly humorous names have been heaped upon quarks, ranging from "strange" to "charmed." Above all, these names and the fact that they are the smallest identified piece of matter have made quarks famous.