Atomicity through Fractal Measure Theory: Mathematical and Physical Fundamentals with Applications
About this ebook
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 potentialapplications in life sciences, are opened.
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About the author
Alina Gavrilut, PhD, is lecturer at the Faculty of Mathematics, Alexandru Ioan Cuza University of Iasi, Romania. Fields of competence: Mathematical Analysis – especially the Measure Theory, Nonlinear Dynamics and Quantum Physics.
Ioan Mercheş is an emeritus professor of theoretical physics at the Alexandru Ioan Cuza University of Iasi, Romania. He has co-authored 2 books published with Springer: Mechanics: An Intensive Course (2012) and Electrodynamics: An Intensive Course (2016).
Maricel Agop is professor of physics at the Gheorghe Asachi Technical University of Lasi, Romania. He was awarded the title “Doctor Honoris Causa” of the University “Vasile Alecsandri”, Bacau, Romania (2013). Since 2018, he has been a correspondent member of the Academy of Romanian Scientists.
