Quantum Physics For Dummies

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Quantum Physics For Dummies

Quantum Physics For Dummies

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A measurement device for electrons would typically disturb the electrons. More precisely, their momentum p would typically change due to a measurement device, while the place x of its path would become known more precisely. In general, there will be some uncertainty left in the momentum and in the place of the electron. Heisenberg postulated that the product of these uncertainties can never be lower than a specific constant h: Delta x times Delta p >= h. No one ever managed to disproof this relation, which is at the heart of quantum mechanics. Essentially it says, we cannot measure both momentum and place with arbitrary precision at the same time. Single Slit Experiments But are the particles really somehow tethered to each other across space, or is something else going on? Some scientists, including Albert Einstein in the 1930s, pointed out that the entangled particles might have always been spin up or spin down, but that this information was hidden from us until the measurements were made. Such "local hidden variable theories" argued against the mind-boggling aspect of entanglement, instead proposing that something more mundane, yet unseen, is going on.

Quantum Physics Introduction for Beginners Quantum Physics Introduction for Beginners

All these phenomenological developments and heuristic theory laid ground for the old quantum theory. It was further amended by scientists like W. Heisenberg and E. Schrödinger to form the new quantum theory based on the central principle of the wave nature of matter particles. Basics of Quantum Physics For Dummies The pattern with maxima and minima is called an interference pattern, since it comes about by the interference of the waves through slit 1 and slit 2. It has been found that you only get this interference pattern if you do not by other means (some additional measurement instrument) watch through which of the two slits the electrons or photons pass. If you do measure which of the two ways the particles pass by any other means, the interference pattern goes away. You will then find the sum distribution P = P1 + P2 as in the classical experiment. Uncertainty principle Classical electromagnetic theory could not explain the optical line emission or absorption spectra, arising from gases and liquids. Bohr’s atomic model, based on angular momentum quantization and quantized energy levels provided accurate experimental values of optical spectra for Hydrogen, thus providing further validation to the quantization approach.

To understand the quantum realm, you need to unlearn and unplug yourself from classical intuition – which serves us well in the macroscopic world, but is eminently useless in here. Let us peel off our classical intuition layer by layer. De Broglie’s Matter Waves What this equation is saying is that, if you partially differentiate your wave, , with respect to twice, it will equal the partial differential of your wave with respect to twice, multiplied by a constant, which in this case is .

Quantum Physics For Dummies, Revised Edition | Wiley

If you shine a light onto a metal surface for long enough the surface will heat up. This must mean that the light is transferring energy to the metal, so in theory it is possible that if you shone a light on a surface for long enough, enough energy would be transferred to liberate an electron from an orbit. Even with a weak light you should be able to wait long enough for the energy to build up and an electron to be emitted. So physicists tried the experiment. It failed miserably. For some metals specific light would cause electron emissions, for other metals the same light source wouldn’t, no matter how long it was left. And it was found that the electrons came out with higher energies depending on the colour of the light, not the intensity. Thanks to a 1927 discovery, thousands of scientists and students have repeated one and the same simple experiment by shining a laser through a hole that gradually becomes smaller. Logically, the visible laser point on the projection screen shrinks as the hole contracts. But when the hole becomes narrow enough, the laser point suddenly widens and expands across the screen until the hole closes. This is the clearest proof of the quintessence of quantum physics – the Heisenberg uncertainty principle, which states: The more precisely we define one of a pair of properties in a quantum system, the more uncertain the other property becomes. In this case, the more precisely we define the position of the laser photons by making the hole smaller, the more uncertain their momentum becomes. 3. Meissner effect There is no way of knowing whether the cat is dead or alive, until the box is opened. So until we look inside, according to quantum theory, the cat is both dead and alive! This is the fundamental paradox presented by the theory. It’s one way of illustrating the way quantum mechanics forces us to think. Until the position of a particle is measured, it exists in all positions at the same time, just like the cat is both dead and alive.

Determinism is Probabilistic

For example, in an atom with a single electron, such as hydrogen or ionized helium, the wave function of the electron provides a complete description of how the electron behaves. It can be decomposed into a series of atomic orbitals which form a basis for the possible wave functions. For atoms with more than one electron (or any system with multiple particles), the underlying space is the possible configurations of all the electrons and the wave function describes the probabilities of those configurations.

Quantum Physics For Dummies By Steven Holzner Quantum Physics For Dummies By Steven Holzner

In most cases you’ll learn about involving matter waves like electrons, the potentials they’re in don’t really depend on time, they don’t suddenly change shape after so many seconds. If this is the case (and most of the time it is) then we can use the Separation of Variables method on the Schrödinger Equation. If the Q.M approaches the classical limit (i.e) h tends to zero, the Q.M results somewhat approaches the results which are nearer to classical.

De Broglie’s Matter Waves

We said above that quantum physics becomes relevant for small particles — whereby we mean that naturally, quantum effects are only seen for small particles. However,the theory itself is thought to provide correct results for large particles as well. Why is it then, that quantum effects (which cannot be explained with classical theory) become increasingly difficult to observe for larger particles? Larger compound particles in general experience more interaction both within themselves and with their surroundings. These interactions typically lead to an effect physicists call “decoherence” — which simply put means that quantum effects get lost. In this case (for sufficiently large matter), quantum physics and classical physics yield the same result.

Quantum physics for dummies - GBV Quantum physics for dummies - GBV

However, storing a quantum state – i.e. particles in superposition – is very difficult. Any interaction with the universe will disrupt it and cause errors. This is why quantum computers are shielded electro­magnetically and cooled down to almost absolute zero. Are quantum technologies based on a single principle?

What do you wait for? Do the experiment, and you will become a believer of quantum mechanics, or more generally phrased, of quantum physics. Advanced Remarks Don’t watch! A common misconception about entanglement is that the particles are communicating with each other faster than the speed of light, which would go against Einstein's special theory of relativity. Experiments have shown that this is not true, nor can quantum physics be used to send faster-than-light communications. Though scientists still debate how the seemingly bizarre phenomenon of entanglement arises, they know it is a real principle that passes test after test. In fact, while Einstein famously described entanglement as "spooky action at a distance," today's quantum scientists say there is nothing spooky about it. How can we explain these results? Well, the explanation is rather straight forward if we assume that electrons in this specific case do not behave as particles, but as waves. “Waves?” you may ask. Well, consider a plain of water, and the same wall as before and the same intermediate wall with a double slit as before. At the place where the machine gun or the wire where, consider a pencil punching periodically downwards into the water. If you do this, you will get concentric waves around the point where you punch the water, until the intermediate plain with the two slits. Now consider the same experiment on a much smaller scale. Instead of bullets from a machine gun we consider electrons that for example can stem from a heated wire parallel to the two slits in an intermediate wall. The electron direction will have a natural spread. The slits are also much smaller than before but much broader than a single electron. The electron experiment results So now we need to see if it will work, so first we take our wave (1) and differentiate it twice with respect to (If you are unsure how to do this see here for help). So differentiating twice gives.



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