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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Atomicity through Fractal Measure Theory - Mathematical and Physical Fundamentals with Applications (Paperback, 1st ed. 2019)
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Atomicity through Fractal Measure Theory - Mathematical and Physical Fundamentals with Applications (Paperback, 1st ed. 2019)
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This book presents an exhaustive study of atomicity from a
mathematics perspective in the framework of multi-valued
non-additive measure theory. Applications to quantum physics and,
more generally, to the fractal theory of the motion, are
highlighted. The study details the atomicity problem through key
concepts, such as the atom/pseudoatom, atomic/nonatomic measures,
and different types of non-additive set-valued multifunctions.
Additionally, applications of these concepts are brought to light
in the study of the dynamics of complex systems. The first chapter
prepares the basics for the next chapters. In the last chapter,
applications of atomicity in quantum physics are developed and new
concepts, such as the fractal atom are introduced. The mathematical
perspective is presented first and the discussion moves on to
connect measure theory and quantum physics through quantum measure
theory. New avenues of research, such as fractal/multifractal
measure theory with potential applications in life sciences, are
opened.
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