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Local density of states in quantum Hall systems with a smooth
Local density of states in quantum Hall systems with a smooth

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Evaluating charge noise acting on semiconductor quantum dots in

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Phys. Rev. Lett. 108, 100501 - APS Link Manager

... vanishes at the phase transition, here, we consider finite system sizes where there always exists a nonzero gap. For gapless phases such as the dipolar crystal, however, it is important to note that the gap may further decrease upon entering the ordered phase. The qualitative effect of such a finite ...
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International Journal of Molecular Sciences

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Presentation slides

... Dotted trajectory is one created by action of n̂0 Suppose dotted trajectory has r right and l left collisions Then annihilated particle is |r − l| positions to right of created particle ...
Cryptographic distinguishability measures for quantum
Cryptographic distinguishability measures for quantum

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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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