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The word quantum is Latin for "how great" or "how much."[2] In quantum mechanics, it refers to a discrete unit that quantum theory assigns to certain physical quantities, such as the energy of an atom at rest (see Figure 1, at right). The discovery that waves have discrete energy packets (called quanta) that behave in a manner similar to particles led to the branch of physics that deals with atomic and subatomic systems which we today call quantum mechanics. It is the underlying mathematical framework of many fields of physics and chemistry, including condensed matter physics, solid-state physics, atomic physics, molecular physics, computational chemistry, quantum chemistry, particle physics, and nuclear physics. The foundations of quantum mechanics were established during the first half of the twentieth century by Werner Heisenberg, Max Planck, Louis de Broglie, Albert Einstein, Niels Bohr, Erwin Schrödinger, Max Born, John von Neumann, Paul Dirac, Wolfgang Pauli, William Hamilton, David Hilbert, and others.[3] Some fundamental aspects of the theory are still actively studied.[4]

Level 2 Headline

Quantum mechanics is essential to understand the behavior of systems at atomic length scales and smaller. For example, if classical mechanics governed the workings of an atom, electrons would rapidly travel towards and collide with the nucleus, making stable atoms impossible. However, in the natural world the electrons normally remain in an uncertain, non-deterministic "smeared" (wave-particle wave function) orbital path around or "through" the nucleus, defying classical electromagnetism.[5]

Level 3 Headline

In the formalism of quantum mechanics, the state of a system at a given time is described by a complex wave function (sometimes referred to as orbitals in the case of atomic electrons), and more generally, elements of a complex vector space.[7] This abstract mathematical object allows for the calculation of probabilities of outcomes of concrete experiments. such as position and momentum, with arbitrary accuracy. For instance, electrons may be considered to be located somewhere within a region of space, but with their exact positions being unknown. Contours of constant probability, often referred to as “clouds” may be drawn around the nucleus of an atom to conceptualize where the electron might be located with the most probability. Heisenberg's uncertainty principle quantifies the inability to precisely locate the particle given its conjugate.[8]

For example, it allows one to compute the probability of finding an electron in a particular region around the nucleus at a particular time. Contrary to classical mechanics, one can never make simultaneous predictions of conjugate variables,

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This is probably the greatest thing that's ever happened in my life. Everyone is going to see things differently - and that's the way it should be. Anything you want to do you can do here. Just a little indication. In your imagination you can go anywhere you want. Automatically, all of these beautiful, beautiful things will happen.

You better get your coat out, this is going to be a cold painting. You can create anything that makes you happy. The shadows are just like the highlights, but we're going in the opposite direction. If there's two big trees invariably sooner or later there's gonna be a little tree. It takes dark in order to show light.

There's nothing wrong with having a tree as a friend. Now we can begin working on lots of happy little things. A tree needs to be your friend if you're going to paint him. Any little thing can be your friend if you let it be. You can do anything here - the only pre-requisite is that it makes you happy.

Put light against light - you have nothing. Put dark against dark - you have nothing. It's the contrast of light and dark that each give the other one meaning. You can do it. So often we avoid running water, and running water is a lot of fun. Maybe there's a happy little waterfall happening over here. This painting comes right out of your heart.

We tell people sometimes: we're like drug dealers, come into town and get everybody absolutely addicted to painting. It doesn't take much to get you addicted. We have all at one time or another mixed some mud. Go out on a limb - that's where the fruit is. This is the time to get out all your flustrations, much better than kicking the dog around the house or taking it out on your spouse. When things happen - enjoy them. They're little gifts. Anyone can paint.

We'll put all the little clouds in and let them dance around and have fun. That easy. That's the way I look when I get home late; black and blue. The least little bit can do so much. Working it up and down, back and forth. You need to have a very firm paint to do this.

And maybe, maybe, maybe... You can't have light without dark. You can't know happiness unless you've known sorrow. It all happens automatically. Only eight colors that you need. A big strong tree needs big strong roots.

A fan brush is a fantastic piece of equipment. Use it. Make friends with it. If you don't think every day is a good day - try missing a few. You'll see. We'll put some happy little leaves here and there. We touch the canvas, the canvas takes what it wants. You've got to learn to fight the temptation to resist these things. Just let them happen.

Only think about one thing at a time. Don't get greedy. I really believe that if you practice enough you could paint the 'Mona Lisa' with a two-inch brush. You are only limited by your imagination. We have a fantastic little sky! There we go. Just make a decision and let it go.

If we're going to have animals around we all have to be concerned about them and take care of them. The very fact that you're aware of suffering is enough reason to be overjoyed that you're alive and can experience it. There is no right or wrong - as long as it makes you happy and doesn't hurt anyone. Just go out and talk to a tree. Make friends with it. Let your imagination just wonder around when you're doing these things. Don't be bashful drop me a line.

Here's something that's fun. Decide where your cloud lives. Maybe he lives right in here. Everybody needs a friend. There are no mistakes. You can fix anything that happens. I get carried away with this brush cleaning. Making all those little fluffies that live in the clouds.

And just raise cain. It is a lot of fun. I spend a lot of time walking around in the woods and talking to trees, and squirrels, and little rabbits and stuff. Even trees need a friend. We all need friends. Fluff that up.

Put it in, leave it alone. We don't need any guidelines or formats. All we need to do is just let it flow right out of us. You're meant to have fun in life. Let your heart be your guide. I will take some magic white, and a little bit of Vandyke brown and a little touch of yellow.

Just let go - and fall like a little waterfall. But they're very easily killed. Clouds are delicate. This is where you take out all your hostilities and frustrations. It's better than kicking the puppy dog around and all that so. We'll do another happy little painting. Just think about these things in your mind - then bring them into your world.

Just a happy little shadow that lives in there. We don't have anything but happy trees here. Get tough with it, get strong. Trees grow in all kinds of ways. They're not all perfectly straight. Not every limb is perfect. Remember how free clouds are. They just lay around in the sky all day long.

A fan brush can be your best friend. If you do too much it's going to lose its effectiveness. Isn't that fantastic that you can create an almighty tree that fast? Let's make some happy little clouds in our world. Sometimes you learn more from your mistakes than you do from your masterpieces. Let's do it again then, what the heck.

Let's build an almighty mountain. Don't be afraid to make these big decisions. Once you start, they sort of just make themselves. When you buy that first tube of paint it gives you an artist license. All you need to paint is a few tools, a little instruction, and a vision in your mind. It's life. It's interesting. It's fun. The man who does the best job is the one who is happy at his job.

Steve wants reflections, so let's give him reflections. At home you have unlimited time. Mountains are so simple, they're hard. Here's another little happy bush Nice little clouds playing around in the sky. As trees get older they lose their chlorophyll.