The Butterfly in the Quantum World

Released on by Indubala I Satija
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  • The Butterfly in the Quantum World Book Detail

  • Author : Indubala I Satija
  • Release Date : 2016-09-06
  • Publisher : Morgan & Claypool Publishers
  • Genre : Science
  • Pages : 356
  • ISBN 13 : 1681741814
  • File Size : 91,91 MB
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The Butterfly in the Quantum World by Indubala I Satija PDF Summary

Book Description: 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.

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The Butterfly in the Quantum World

The Butterfly in the Quantum World

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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",

Butterfly in the Quantum World

Butterfly in the Quantum World

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Preface -- Prologue -- Prelude -- part I. The butterfly fractal -- 0. Kiss precise -- 0.1. Apollonian gaskets and integer wonderlands -- Appendix. An Apollonian

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This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the hu