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Quantum Field Theory
Quantum Field Theory

Quantization of Energy
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... Wave Nature of Electron As a young student at the University of Paris, Louis DeBroglie had been impacted by relativity and the photoelectric effect, both of which had been introduced in his lifetime. The photoelectric effect pointed to the particle properties of light, which had been considered to ...
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... relate to the electron structure? Since each atom is unique in its electron structure with differing levels of energy, the transitions between those levels will be unique to each atom.  Electrons are in certain energy levels. When electrons give off light, they emit energy, and move to a lower leve ...


... In this work we discuss some concepts of quantum mechanics showing the result for the ground state energy of the infinite potential well that, together with elementary thermal physics concepts applied to semiconductors, help us to estimate the size of nanostructures. The energy value of the infinite ...
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... experimental point of view. The authors take great pains to motivate and explain illustrative experiments in mesoscopic transport and the underlying physical principles. This is very helpful and absolutely necessary, since he explains a field that is growing fast and in which some conceptual questio ...
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... the magnitude of the momentum of the photon does not change. the momentum of the electron does not change. the kinetic energy of the electron does not change. the total energy of the photon does not change. both the magnitude of the momentum and the total energy of the photon decrease. ...
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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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