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py354-final-121502
py354-final-121502

... calculations and answers. Please circle answers wherever you can. If you need more space, write on the back of these exam pages, and make a note so the grader can follow. This is a long exam, and in all likelihood, you will not finish, so don't be upset by leaving things incomplete. Please note the ...
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Physics 200 Class #1 Outline

... Bohr: By an act of measurement we push nature into giving us one answer or another. Thus if we include the measuring procedure and apparatus in the description of the physical situation, all will be well. Bohr comes to a line of reasoning known as the Copenhagen Interpretation of Quantum Theory. The ...
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... electrons. By conservation of angular momentum, the sum of the two electrons angular momentum must also be 0. If we measure the z-spin of one electron to be +½ then we know that the other electron must have a z-spin of –½. But before we measure the first electron, it is in a mixture of +½ and –½ spi ...
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Particle in a box



In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.
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