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Magnétisme --- Magnetism --- Physique mathématique --- Mathematical physics --- Pôle magnétique. --- Magnetic pole --- Magnétisme --- Pôle magnétique.

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This thesis presents the first ever measurement of the noise emitted by magnetic monopoles and the development of an exquisitely sensitive magnetic-field-noise spectrometer based on a superconducting quantum interference device (SQUID) that enabled it. Magnetic monopoles are highly elusive elementary particles exhibiting quantized magnetic charge. The prospects for studying them brightened recently with the theoretical discovery that the thermally excited states in certain classes of magnetic insulators exhibit all the characteristics of magnetic monopoles. Furthermore, in 2018, it was predicted that the random motion of magnetic monopoles inside would generate a very specific kind of magnetization noise. In this thesis, the author describes a new experimental technique, so-called spin noise spectroscopy, and the subsequent discovery of virtually all of the predicted features of the magnetic noise expected from a dense fluid of magnetic monopoles in crystals of Dy2Ti2O7. Remarkably, because this magnetic monopole noise occurs in the frequency range below 20kHz, when amplified by the SQUID it is actually audible to humans.

Magnetism. --- Magnetic materials. --- Optical materials. --- Electronic materials. --- Low temperature physics. --- Low temperatures. --- Physical measurements. --- Measurement   . --- Magnetism, Magnetic Materials. --- Optical and Electronic Materials. --- Low Temperature Physics. --- Measurement Science and Instrumentation. --- Measuring --- Mensuration --- Mathematics --- Technology --- Metrology --- Physical measurements --- Measurements, Physical --- Mathematical physics --- Measurement --- Cryogenics --- Low temperature physics --- Temperatures, Low --- Temperature --- Cold --- Electronic materials --- Optics --- Materials --- Physics --- Electricity --- Magnetics --- Magnetic monopoles. --- Monopoles, Magnetic --- Electromagnetism --- Magnetic pole

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Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years. The soliton idea bridges the gap between the concepts of "fields" and "particles," and is here explored in a fully three-dimensional context. While the background and motivation for the work comes from physics, the presentation is mathematical.This book is interdisciplinary and addresses concerns of theoretical physicists interested in elementary particles or general relativity and mathematicians working in analysis or geometry. The interaction between geometry and physics through non-linear partial differential equations is now at a very exciting stage, and the book is a contribution to this activity.Originally published in 1988.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Magnetic monopoles --- Solitons. --- Geometry. --- Differential equations, Hyperbolic --- Solitons --- Géométrie --- Mathematics. --- Numerical solutions. --- -Geometry --- -Solitons --- Numerical solutions --- Mathematics --- 530.1 --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of --- Monopoles, Magnetic --- Electromagnetism --- Magnetic pole --- Euclid's Elements --- Hyperbolic differential equations --- Differential equations, Partial --- Basic principles of physics --- 530.1 Basic principles of physics --- Géométrie --- Geometry --- Numerical analysis --- Differential equations, Hyperbolic - - Numerical solutions --- Magnetic monopoles - - Mathematics