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Atomicity through Fractal Measure Theory
- Mathematical and Physical Fundamentals with Applications
Engelsk
Bogcover for Atomicity through Fractal Measure Theory af Maricel Agop, Alina Gavrilut, Ioan Merches, 9783030295950
Specifikationer
Sprog:
Engelsk
Sider:
184
ISBN-13:
9783030295950
Indbinding:
Paperback
Udgave:
ISBN-10:
3030295958
Udg. Dato:
13 nov 2020
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Nature Switzerland AG
Oplagsdato:
13 nov 2020

Atomicity through Fractal Measure Theory

- Mathematical and Physical Fundamentals with Applications
Engelsk
Paperback
Format:

Om denne bog

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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Specifikationer
Sprog:
Engelsk
Sider:
184
ISBN-13:
9783030295950
Indbinding:
Paperback
Udgave:
ISBN-10:
3030295958
Udg. Dato:
13 nov 2020
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Nature Switzerland AG
Oplagsdato:
13 nov 2020
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