Atomicity through Fractal Measure Theory - Mathematical and Physical Fundamentals with Applications (Hardcover, 1st ed. 2019)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Release date:	November 2019
First published:	2019
Authors:	Alina Gavrilut • Ioan Merches • Maricel Agop
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	184
Edition:	1st ed. 2019
ISBN-13:	978-3-03-029592-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General Promotions
LSN:	3-03-029592-3
Barcode:	9783030295929

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