{"product_id":"9789814569880","title":"Quantum Fractals: From Heisenberg's Uncertainty To Barnsley's Fractality: From Heisenberg's Uncertainty to Barnsley's Fractality","description":"\u003cp\u003eStarting 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:\u003c\/p\u003e \u003cul\u003e\n\u003cli\u003eWhat are fractals?\u003c\/li\u003e\n\u003cli\u003eHow do fractal patterns emerge from quantum observations and relativistic light aberration effects?\u003c\/li\u003e\n\u003cli\u003eWhat are the open problems with iterated function systems based on Mobius transformations?\u003c\/li\u003e\n\u003cli\u003eCan quantum fractals be experimentally detected?\u003c\/li\u003e\n\u003cli\u003eWhat are quantum jumps?\u003c\/li\u003e\n\u003cli\u003eIs quantum theory complete and\/or universal?\u003c\/li\u003e\n\u003cli\u003eIs the standard interpretation of Heisenberg's uncertainty relations accurate?\u003c\/li\u003e\n\u003cli\u003eWhat is Event Enhanced Quantum Theory and how does it differ from spontaneous localization theories?\u003c\/li\u003e\n\u003cli\u003eWhat are the possible applications of quantum fractals?\u003c\/li\u003e\n\u003c\/ul\u003e \u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\u003cb\u003e\u003ci\u003eIntroduction\u003c\/i\u003e\u003c\/b\u003e\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eWhat are Quantum Fractals?:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eCantor Set\u003c\/li\u003e\n\u003cli\u003eIterated Function Systems\u003c\/li\u003e\n\u003cli\u003eCantor Set Through Matrix Eigenvector\u003c\/li\u003e\n\u003cli\u003eQuantum Iterated Function Systems\u003c\/li\u003e\n\u003cli\u003eExample: The \"Impossible\" Quantum Fractal\u003c\/li\u003e\n\u003cli\u003eAction on the Plane\u003c\/li\u003e\n\u003cli\u003eLorentz Group, \u003ci\u003eSL\u003c\/i\u003e(2,ℂ), and Relativistic Aberration\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eExamples:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eHyperbolic Quantum Fractals\u003c\/li\u003e\n\u003cli\u003eControlling Chaotic Behavior and Fractal Dimension\u003c\/li\u003e\n\u003cli\u003eQuantum Fractals on \u003ci\u003en\u003c\/i\u003e-Spheres\u003c\/li\u003e\n\u003cli\u003eAlgorithms for Generating Hyperbolic Quantum Fractals\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eFoundational Questions:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eStochastic Nature of Quantum Measurement Processes\u003c\/li\u003e\n\u003cli\u003eAre There Quantum Jumps?\u003c\/li\u003e\n\u003cli\u003eBohmian Mechanics\u003c\/li\u003e\n\u003cli\u003eEvent Enhanced Quantum Theory\u003c\/li\u003e\n\u003cli\u003eGhirardi–Rimini–Weber Spontaneous Localization\u003c\/li\u003e\n\u003cli\u003eHeisenberg's Uncertainty Principle and Quantum Fractals\u003c\/li\u003e\n\u003cli\u003eAre Quantum Fractals Real?\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eAppendix A. Mathematical Concepts:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eMetric Spaces\u003c\/li\u003e\n\u003cli\u003eNormed Spaces\u003c\/li\u003e\n\u003cli\u003eMeasure and Integral\u003c\/li\u003e\n\u003cli\u003eMarkov, Frobenius-Perron and Koopman Operators\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eAppendix B. Minkowski Space Generalization of Euler-Rodrigues Formula:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\u003cli\u003eAlternative Derivation via \u003ci\u003eSL\u003c\/i\u003e(2,ℂ)\u003c\/li\u003e\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Advanced undergraduate students and professionals in quantum chaos, as well as philosophers of science.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47141187715312,"sku":"9789814569880","price":44.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814569880_p0.jpg?v=1763691882","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814569880","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}