AntalyaQuantumComputingTutorial
... discrete in mathematics, i.e., some quantity or variable that can take only sharply defined values as opposed to a continuously varying quantity. The concepts continuum and continuous are known from geometry and calculus. For example, on a segment of a line there are infinitely many points, the segm ...
... discrete in mathematics, i.e., some quantity or variable that can take only sharply defined values as opposed to a continuously varying quantity. The concepts continuum and continuous are known from geometry and calculus. For example, on a segment of a line there are infinitely many points, the segm ...
Quantum supergroups and canonical bases Sean Clark University of Virginia Dissertation Defense
... No examples despite extensive study, experts don’t believe. Why should canonical bases exist? Because now we have I ...
... No examples despite extensive study, experts don’t believe. Why should canonical bases exist? Because now we have I ...
JOURNAL OF CONDENSED MATTER NUCLEAR SCIENCE Experiments and Methods in Cold Fusion
... who often had sacrificed their own careers relentlessly continuing their efforts down this direction of research. The more and more absurd this sounded to me when after studying some of the more popular candidates, I realised that the more involved were the models and complicated the equations, the ...
... who often had sacrificed their own careers relentlessly continuing their efforts down this direction of research. The more and more absurd this sounded to me when after studying some of the more popular candidates, I realised that the more involved were the models and complicated the equations, the ...
Conformal field theory out of equilibrium: a review
... • (Effective reservoirs) One may imagine connecting the system under study to a set of external reservoirs or baths and look for an effective description. The system is then open, in the sense that there are flows of energy or charge between the system and the external reservoir, whose dynamics is e ...
... • (Effective reservoirs) One may imagine connecting the system under study to a set of external reservoirs or baths and look for an effective description. The system is then open, in the sense that there are flows of energy or charge between the system and the external reservoir, whose dynamics is e ...
Lecture 21 - Laser Diodes - 2 - Outline •
... the inverted carrier population is greater than might first be expected. In the� situation illustrated below, the� inner layer is 1/3 the thickness,� but the overlap overlap� integral is only reduced by 1/2.� ...
... the inverted carrier population is greater than might first be expected. In the� situation illustrated below, the� inner layer is 1/3 the thickness,� but the overlap overlap� integral is only reduced by 1/2.� ...
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.