Atomicity through fractal measure theory : mathematical and physical fundamentals with applications /

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Bibliographic Details
Author / Creator:Gavriluţ, Alina, author.
Imprint:Cham : Springer, [2019]
©2019
Description:1 online resource
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11997337
Hidden Bibliographic Details
Other authors / contributors:Merches, Ioan, author.
Agop, Maricel, author.
ISBN:9783030295936
3030295931
9783030295929
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed November 4, 2019).
Summary: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.
Standard no.:10.1007/978-3-030-29593-6
10.1007/978-3-030-29