Atomicity through Fractal Measure Theory
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“The book is addressed to a wide range of researchers in physics and mathematics and related areas using multivalued analysis.” (Ivan Podvigin, zbMATH 1445.81004, 2020)
“The book is intended by the authors ‘for graduate and postgraduate students, teachers, and all researchers in physics and mathematics’. … I would recommend this book, much more narrowly, to mathematicians working in measure theory and to physicists who are already quantum field theory practitioners wishing to think on their work in measure-theoretic terms.” (Vladimir García-Morales, Mathematical Reviews, September, 2020)
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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. Les mer
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.
Detaljer
- Forlag
- Springer Nature Switzerland AG
- Innbinding
- Innbundet
- Språk
- Engelsk
- Sider
- 184
- ISBN
- 9783030295929
- Utgivelsesår
- 2019
- Format
- 24 x 16 cm
Anmeldelser
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“The book is addressed to a wide range of researchers in physics and mathematics and related areas using multivalued analysis.” (Ivan Podvigin, zbMATH 1445.81004, 2020)
“The book is intended by the authors ‘for graduate and postgraduate students, teachers, and all researchers in physics and mathematics’. … I would recommend this book, much more narrowly, to mathematicians working in measure theory and to physicists who are already quantum field theory practitioners wishing to think on their work in measure-theoretic terms.” (Vladimir García-Morales, Mathematical Reviews, September, 2020)
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