Search Results for: quantum fractals

Quantum Fractals

Quantum Fractals PDF
Author: Arkadiusz Jadczyk
Publisher: World Scientific
Size: 14.76 MB
Format: PDF, Mobi
Category : Science
Languages : en
Pages : 360
View: 369

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Quantum Fractals Book Description

by Arkadiusz Jadczyk, Quantum Fractals Books available in PDF, EPUB, Mobi Format. Download Quantum Fractals books, Starting with numerical algorithms resulting in new kinds of amazing fractal patterns on the sphere, this book describes the theory underlying these phenomena and indicates possible future applications. The book also explores the following questions: What are fractals?How do fractal patterns emerge from quantum observations and relativistic light aberration effects?What are the open problems with iterated function systems based on Mobius transformations?Can quantum fractals be experimentally detected?What are quantum jumps?Is quantum theory complete and/or universal?Is the standard interpretation of Heisenberg's uncertainty relations accurate?What is Event Enhanced Quantum Theory and how does it differ from spontaneous localization theories?What are the possible applications of quantum fractals? Contents:IntroductionWhat are Quantum Fractals?:Cantor SetIterated Function SystemsCantor Set Through Matrix EigenvectorQuantum Iterated Function SystemsExample: The "Impossible" Quantum FractalAction on the PlaneLorentz Group, SL(2,ℂ), and Relativistic AberrationExamples:Hyperbolic Quantum FractalsControlling Chaotic Behavior and Fractal DimensionQuantum Fractals on n-SpheresAlgorithms for Generating Hyperbolic Quantum FractalsFoundational Questions:Stochastic Nature of Quantum Measurement ProcessesAre There Quantum Jumps?Bohmian MechanicsEvent Enhanced Quantum TheoryGhirardi–Rimini–Weber Spontaneous LocalizationHeisenberg's Uncertainty Principle and Quantum FractalsAre Quantum Fractals Real?Appendix A. Mathematical Concepts:Metric SpacesNormed SpacesMeasure and IntegralMarkov, Frobenius-Perron and Koopman OperatorsAppendix B. Minkowski Space Generalization of Euler-Rodrigues Formula:Alternative Derivation via SL(2,ℂ) Readership: Advanced undergraduate students and professionals in quantum chaos, as well as philosophers of science. Keywords:Fractals;Quantum Theory;Measurement;Uncertainty;Quantum Jumps;Mobius Transformations;IFS;Spin;Lorentz Group;Relativity;Aberration;Time;GRW;EEQT


Quantum Fractals

Quantum Fractals PDF
Author: Arkadiusz Jadczyk
Publisher: World Scientific Publishing Company Incorporated
Size: 11.53 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 345
View: 7578

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Quantum Fractals Book Description

by Arkadiusz Jadczyk, Quantum Fractals Books available in PDF, EPUB, Mobi Format. Download Quantum Fractals books, 1. Introduction -- 2. What are quantum fractals? 2.1. Cantor set. 2.2. Iterated function systems. 2.3. Cantor set throughmatrix eigenvector. 2.4. Quantum iterated function systems. 2.5. Example: The "impossible" quantum fractal. 2.6. Action on the plane. 2.7 Lorentz group, SL(2,C), and relativistic aberration -- 3. Examples. 3.1. Hyperbolic quantum fractals. 3.2. Controlling chaotic behavior and fractal dimension. 3.3. Quantum fractals on n-spheres. 3.4. Algorithms for generating hyperbolic quantum fractals -- 4. Foundational questions. 4.1. Stochastic nature of quantum measurement processes. 4.2. Are there quantum jumps? 4.3. Bohmian mechanics. 4.4. Event enhanced quantum theory. 4.5. Ghirardi-Rimini-Weber spontaneous localization. 4.6. Heisenberg's uncertainty principle and quantum fractals. 4.7. Are quantum fractals real?


A Trajectory Description Of Quantum Processes Ii Applications

A Trajectory Description of Quantum Processes  II  Applications PDF
Author: Ángel S. Sanz
Publisher: Springer
Size: 17.43 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 333
View: 409

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A Trajectory Description Of Quantum Processes Ii Applications Book Description

by Ángel S. Sanz, A Trajectory Description Of Quantum Processes Ii Applications Books available in PDF, EPUB, Mobi Format. Download A Trajectory Description Of Quantum Processes Ii Applications books, Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning as an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This second volume is focussed on simple and basic applications of quantum processes such as interference and diffraction of wave packets, tunneling, diffusion and bound-state and scattering problems. The corresponding analysis is carried out within the Bohmian framework. By stressing its interpretational aspects, the book leads the reader to an alternative and complementary way to better understand the underlying quantum dynamics.


The Butterfly In The Quantum World

The Butterfly in the Quantum World PDF
Author: Indubala I Satija
Publisher: Morgan & Claypool Publishers
Size: 26.89 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 350
View: 3821

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The Butterfly In The Quantum World Book Description

by Indubala I Satija, The Butterfly In The Quantum World Books available in PDF, EPUB, Mobi Format. Download The Butterfly In The Quantum World books, Butterfly in the Quantum World by Indu Satija, with contributions by Douglas Hofstadter, is the first book ever to tell the story of the "Hofstadter butterfly", a beautiful and fascinating graph lying at the heart of the quantum theory of matter. The butterfly came out of a simple-sounding question: What happens if you immerse a crystal in a magnetic field? What energies can the electrons take on? From 1930 onwards, physicists struggled to answer this question, until 1974, when graduate student Douglas Hofstadter discovered that the answer was a graph consisting of nothing but copies of itself nested down infinitely many times. This wild mathematical object caught the physics world totally by surprise, and it continues to mesmerize physicists and mathematicians today. The butterfly plot is intimately related to many other important phenomena in number theory and physics, including Apollonian gaskets, the Foucault pendulum, quasicrystals, the quantum Hall effect, and many more. Its story reflects the magic, the mystery, and the simplicity of the laws of nature, and Indu Satija, in a wonderfully personal style, relates this story, enriching it with a vast number of lively historical anecdotes, many photographs, beautiful visual images, and even poems, making her book a great feast, for the eyes, for the mind and for the soul.


Scaling Fractals And Wavelets

Scaling  Fractals and Wavelets PDF
Author: Patrice Abry
Publisher: John Wiley & Sons
Size: 72.21 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 464
View: 4195

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Scaling Fractals And Wavelets Book Description

by Patrice Abry, Scaling Fractals And Wavelets Books available in PDF, EPUB, Mobi Format. Download Scaling Fractals And Wavelets books, Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling ? self-similarity, long-range dependence and multi-fractals ? are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.


Quantum Interaction

Quantum Interaction PDF
Author: Jerome R. Busemeyer
Publisher: Springer
Size: 74.73 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 239
View: 2569

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Quantum Interaction Book Description

by Jerome R. Busemeyer, Quantum Interaction Books available in PDF, EPUB, Mobi Format. Download Quantum Interaction books, This book constitutes the refereed proceedings of the 6th International Symposium on Quantum Interaction, QI 2012, held in Paris in June 2012. The 21 revised full papers presented were carefully reviewed and selected from 32 submissions. The papers cover various topics on quantum interaction.


Quantum God Fractal Jesus How Isaac Newton Redefined God Without Really Meaning To And Why We Really Don T Get God

Quantum God  Fractal Jesus  How Isaac Newton Redefined God Without Really Meaning to  And Why We Really Don      t Get God PDF
Author: Andrew Fletcher
Publisher: Lulu.com
Size: 14.17 MB
Format: PDF, ePub
Category :
Languages : en
Pages :
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Quantum God Fractal Jesus How Isaac Newton Redefined God Without Really Meaning To And Why We Really Don T Get God Book Description

by Andrew Fletcher, Quantum God Fractal Jesus How Isaac Newton Redefined God Without Really Meaning To And Why We Really Don T Get God Books available in PDF, EPUB, Mobi Format. Download Quantum God Fractal Jesus How Isaac Newton Redefined God Without Really Meaning To And Why We Really Don T Get God books,


Chaos Noise And Fractals

Chaos  Noise and Fractals PDF
Author: E. Roy Pike
Publisher: CRC Press
Size: 15.27 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 250
View: 5021

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Chaos Noise And Fractals Book Description

by E. Roy Pike, Chaos Noise And Fractals Books available in PDF, EPUB, Mobi Format. Download Chaos Noise And Fractals books, The study of nonlinear dynamical systems has been gathering momentum since the late 1950s. It now constitutes one of the major research areas of modern theoretical physics. The twin themes of fractals and chaos, which are linked by attracting sets in chaotic systems that are fractal in structure, are currently generating a great deal of excitement. The degree of structure robustness in the presence of stochastic and quantum noise is thus a topic of interest. Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos. The book represents a balanced overview of the field and is a worthy addition to the reading lists of researchers and students interested in any of the varied, and sometimes bizarre, aspects of this intriguing subject.


Fractals Of Brain Fractals Of Mind

Fractals of Brain  Fractals of Mind PDF
Author: Earl R. Mac Cormac
Publisher: John Benjamins Publishing
Size: 63.88 MB
Format: PDF, Docs
Category : Psychology
Languages : en
Pages : 359
View: 3782

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Fractals Of Brain Fractals Of Mind Book Description

by Earl R. Mac Cormac, Fractals Of Brain Fractals Of Mind Books available in PDF, EPUB, Mobi Format. Download Fractals Of Brain Fractals Of Mind books, This collective volume is the first to discuss systematically what are the possibilities to model different aspects of brain and mind functioning with the formal means of fractal geometry and deterministic chaos. At stake here is not an approximation to the way of actual performance, but the possibility of brain and mind to implement nonlinear dynamic patterns in their functioning. The contributions discuss the following topics (among others): the edge-of- chaos dynamics in recursively organized neural systems and in intersensory interaction, the fractal timing of the neural functioning on different scales of brain networking, aspects of fractal neurodynamics and quantum chaos in novel biophysics, the fractal maximum-power evolution of brain and mind, the chaotic dynamics in the development of consciousness, etc. It is suggested that the margins of our capacity for phenomenal experience, are fractal-limit phenomena . Here the possibilities to prove the plausibility of fractal modeling with appropriate experimentation and rational reconstruction are also discussed. A conjecture is made that the brain vs. mind differentiation becomes possible, most probably, only with the imposition of appropriate symmetry groups implementing a flowing interface of features of local vs. global brain dynamics. (Series B)


Quantum Mechanics Diffusion And Chaotic Fractals

Quantum Mechanics  Diffusion and Chaotic Fractals PDF
Author: Mohammed S. El Naschie
Publisher: Pergamon Press
Size: 74.45 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 215
View: 5612

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Quantum Mechanics Diffusion And Chaotic Fractals Book Description

by Mohammed S. El Naschie, Quantum Mechanics Diffusion And Chaotic Fractals Books available in PDF, EPUB, Mobi Format. Download Quantum Mechanics Diffusion And Chaotic Fractals books, The philosophical and analytical silhouette of quantum mechanics can only take shape against a background of classical mechanics. As classical mechanics has undergone a radical reappraisal with the discovery of deterministic chaos and fractals, then quantum mechanics must be looked at again from the viewpoint of nonlinear dynamics. This book does just that, not solely from the point of view of quantum chaos, but also by looking at the hidden chaotic roots of quantum mechanics. Several of the contributions included in the book are concerned with the geometrization of physics and its consequences for quantum mechanics. Besides the main theme of the book, other equally interesting interpretations are represented, including the cellular automaton version of quantum mechanics and a radical endophysical interpretation: another contribution looks at the possibility of chaos in Einstein's fundamental equations. Some of the papers presented here are destined to be the subject of debate, agreement and passionate disagreement for some time.