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... F → π −1 (Ui ) within some open set Ui ⊂ M. In order to obtain the global bundle structure the local charts φi must be glued together with transition functions tij (p) = (φ−1 ◦ φj ) (p). If all transition functions can be taken to be the identity the bundle is called trivial. In this case not only i ...
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... this course makes extensive use of field plots generated with MagNet to explain the principles. Ampère’s circuital law is a key concept; it gives a useful first estimate of the airgap flux density in devices such as electromagnets, from which the mechanical force can be calculated. Professional engi ...
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... included it because the problem of running a current of several tens of mA to the mixing chamber of a dilution refrigerator seems somewhat nonstandard, so that it might be a useful resource. I do not discuss the design of the scanner in the other hand, since part of it has been adopted from my prede ...
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Magnetic monopole



A magnetic monopole is a hypothetical elementary particle in particle physics that is an isolated magnet with only one magnetic pole (a north pole without a south pole or vice versa). In more technical terms, a magnetic monopole would have a net ""magnetic charge"". Modern interest in the concept stems from particle theories, notably the grand unified and superstring theories, which predict their existence.Magnetism in bar magnets and electromagnets does not arise from magnetic monopoles. There is no conclusive experimental evidence that magnetic monopoles exist at all in our universe.Some condensed matter systems contain effective (non-isolated) magnetic monopole quasi-particles, or contain phenomena that are mathematically analogous to magnetic monopoles.
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