Atomicity through fractal measure theory : mathematical and physical fundamentals with applications / Alina Gavriluţ, Ioan Mercheş, Maricel Agop.
2019
QC174.13 .G38 2019eb
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Title
Atomicity through fractal measure theory : mathematical and physical fundamentals with applications / Alina Gavriluţ, Ioan Mercheş, Maricel Agop.
Author
Gavriluţ, Alina, author.
ISBN
9783030295936 (electronic book)
3030295931 (electronic book)
9783030295929
3030295931 (electronic book)
9783030295929
Published
Cham : Springer, [2019]
Copyright
©2019
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-29593-6 doi
10.1007/978-3-030-29
10.1007/978-3-030-29
Call Number
QC174.13 .G38 2019eb
Dewey Decimal Classification
530.12
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.
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Includes bibliographical references and index.
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Source of Description
Online resource; title from PDF title page (SpringerLink, viewed November 4, 2019).
Added Author
Merches, Ioan, author.
Agop, Maricel, author.
Agop, Maricel, author.
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