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| Alina Gavriluţ, Ioan Mercheş, Maricel Agop | ||||
| Springer International Publishing | ||||
| 2019 | ||||
| English | ||||
| 184 pages | ||||
| 2 MB | ||||
[tab] [content title="Summary"] This book offers a comprehensive exploration of atomicity from a mathematical standpoint within the framework of multi-valued non-additive measure theory. It emphasizes its applications to quantum physics and, more broadly, to the fractal theory of motion. The study delves into the atomicity problem, introducing key concepts such as the atom/pseudoatom, atomic/nonatomic measures, and various types of non-additive set-valued multifunctions. These concepts are then applied to the dynamics of complex systems. The first chapter lays the foundational concepts for the rest of the book, while the final chapter explores the applications of atomicity in quantum physics, introducing innovative ideas like the fractal atom. The book begins with a mathematical perspective and gradually bridges the gap between measure theory and quantum physics through the lens of quantum measure theory. It also opens new avenues for research, such as fractal and multifractal measure theory, with potential implications for fields like life sciences. [/content] [content title="Content"] [/content] [content title="Author(s)"] [/content] [/tab]
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