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Inner and outer edge states in graphene rings: A numerical
Inner and outer edge states in graphene rings: A numerical

Quantum defect theory description of weakly bound levels and Feshbach...
Quantum defect theory description of weakly bound levels and Feshbach...

... combinations of single channel solutions (fi , gi ) in the appropriate long range potential for each channel i. In the present context, of course, those are van der Waals long range potentials in every channel. For other applications, a simpler ‘frame transformation (FT) approximation’ that we abbre ...
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... Objection (2): Given a physical system of N quantum entangled systems, the -function is a function of 3N dimensional configuration space, and not 3 dimensional physical space. This makes it impossible to interpret such a -function as specifying the physical state of N quantum entangled physical s ...
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Heriot-Watt University Free-Space Quantum Signatures Using

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Variational Monte Carlo studies of Atoms - DUO

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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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