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Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both nonrelativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.
Includes its Reports, which are also issued separately.
The last decade has seen the emergence and explosive growth of a new field of condensed matter science: materials chemistry. Transcending the traditional boundaries of organic, inorganic and physical chemistry, this new approach aims to create new molecular and lattice ensembles with unusual physical properties. One of its pioneers, the author has worked on structure-property relations in the inorganic and metal-organic solid state for over 40 years. His seminal work on mixed-valency compounds and inorganic charge transfer spectra in the 1960s set the scene for this new type of chemistry, and his discovery of transparent metal-organic ferromagnets in the 1970s laid the ground rules for much current work on molecular magnets. He has also published extensively on molecular metals and superconductors, especially on charge transfer salts combining conductivity with magnetism. This indispensable volume brings together for the first time a selection of his articles on all these topics, grouped according to theme. Each group is prefaced by a brief introduction for the general reader, putting the articles into their context in the evolution of the subject and describing the intellectual circumstances in which each project was conceived and executed.
This book highlights two essential analyses of data collected during the LHCb experiment, based on the Large Hadron Collider at CERN. The first comprises the first observation and studies of matter-antimatter asymmetries in two three-body b-baryon decays, paving the way for more precise measurements of the relatively unknown decay properties of b-baryon decays. The second is an analysis of a charged B meson decay to three charged pions, where previously large matter-antimatter asymmetries were observed in a model-independent analysis. Here a model of the decay amplitude is constructed using the unitarity-conserving ‘K-matrix’ model for the scalar contributions, so as to gain an understanding of how the previously observed matter-antimatter asymmetries arise; further, the model’s construction yields the most precise and comprehensive study of this decay mode to date.