This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.
Molecular imaging is primarily about the chemistry of novelbiological probes, yet the vast majority of practitioners are notchemists or biochemists. This is the first book, written from achemist's point of view, to address the nature of the chemicalinteraction between probe and environment to help elucidatebiochemical detail instead of bulk anatomy. Covers all of the fundamentals of modern imaging methodologies,including their techniques and application within medicine andindustry Focuses primarily on the chemistry of probes and imagingagents, and chemical methodology for labelling andbioconjugation First book to investigate the chemistry of molecularimaging Aimed at students as well as researchers involved in the areaof molecular imaging
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