Quantum fractals : from Heisenberg's uncertainty to Barnsley's fractality
著者
書誌事項
Quantum fractals : from Heisenberg's uncertainty to Barnsley's fractality
World Scientific, c2014
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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:
目次
- What are Quantum Fractals?
- Cantor Set
- Iterated Function Systems
- Cantor System Through Matrix Eigenvector
- Quantum Iterated Function Systems
- The 'Impossible' Quantum Fractal
- Lorentz Group
- SL(2,C), and Relativistic Aberration
- Hyperbolic Quantum Fractals
- Platonic Quantum Fractals for a Qubit
- Controlling Chaotic Behavior and Fractal Dimension
- Quantum Fractals on N-Spheres
- Clifford Algebras
- Frobenius - Perron Operator
- Computer Simulations
- Foundational Questions
- Stochastic Nature of Quantum Measurement Processes
- Are There Quantum Jumps?
- Bohmian Mechanics
- Ghirardi - Rimini - Weber Spontaneous Localization
- Event Enhanced Quantum Theory
- Heisenberg's Uncertainty Principle and Quantum Fractals
- Are Quantum Fractals Real?
- Limits of Quantum Computation.
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