Alina Gavriluţ

(Author)

Atomicity Through Fractal Measure Theory: Mathematical and Physical Fundamentals with Applications (2019)Hardcover - 2019, 13 November 2019

Atomicity Through Fractal Measure Theory: Mathematical and Physical Fundamentals with Applications (2019)
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Print Length
184 pages
Language
English
Publisher
Springer
Date Published
13 Nov 2019
ISBN-10
3030295923
ISBN-13
9783030295929

Description

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.

Product Details

Authors:
Alina GavriluţIoan MercheşMaricel Agop
Book Edition:
2019
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
13 November 2019
Dimensions:
23.39 x 15.6 x 1.27 cm
ISBN-10:
3030295923
ISBN-13:
9783030295929
Language:
English
Location:
Cham
Pages:
184
Publisher:
Weight:
458.13 gm

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