Atomicity through Fractal Measure Theory 1

Vetenskap & teknik

Atomicity through Fractal Measure Theory

Alina Gavrilu • Ioan Merche • Maricel Agop

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184 sidor
2020

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 potentialapplications in life sciences, are opened.

Författare: Alina Gavrilu, Ioan Merche, Maricel Agop
Format: Pocket/Paperback
ISBN: 9783030295950
Språk: Engelska
Antal sidor: 184
Utgivningsdatum: 2020-11-13
Förlag: Springer Nature Switzerland AG