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demartini
demartini

... .1) The methods of the classical Differential Geometry may be considered as an inspiring context in which the relevant paradigms of modern physics can be investigated satisfactorily by a direct , logical, (likely) “complete” theoretical approach. .2) Quantum Mechanics may be thought of as a “gauge t ...
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... model3 to explain the specific heat of the superfluid helium using an orderdisorder transition approach. Now, inspired by Walecka´s book1 we decided to write this didactical article briefly analyzing some aspects of the energy collective excitations like linear vortices, energy spectrum of the quasi ...
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... the International Space Station. The basic thing we will study is what effect gravity has on velocity fluctuations in a fluid or fluid mixture with either a concentration or temperature difference. It is already known that these fluctuations become very large, but are prevented from becoming huge by ...
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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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