The Butterfly in the Quantum World

The Story of the Most Fascinating Quantum Fractal

Indubala I. Satija (Autor)

Buch | Hardcover

350 Seiten

2016
Morgan & Claypool Publishers (Verlag)
978-1-68174-913-6 (ISBN)

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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", 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.

Born in Amritsar, India, Indu Satija grew up in Bombay. After graduating with a Masters degree in physics from Bombay University, she came to New York to get her doctorate in theoretical physics at Columbia University. Currently, she is a physics professor at George Mason University in Fairfax, Virginia. Her recent areas of research include topological insulators, Bose-Einstein condensates, and solitons. She has published numerous scientific articles; this, however, is her first book. Physics is Indu's first love, and the outdoors is her second. She lives in Potomac, a suburb of Washington, DC, with her husband Sushil, a physicist at the National Institute of Standards and Technology. Both Indu and Sushil are marathon runners, and they enjoy hiking and biking as well. They have two children: Rahul, who is a biologist, and Neena, who is an investigative reporter.

Prelude
Kiss precise
The fractal family
Geometry, number theory, and the butterfly: Friendly numbers and kissing circles
The Apollonian-butterfly connection (ABC)
Quasiperiodic patterns and the butterfly
The quantum world
A quantum-mechanical marriage and its unruly child
A different kind of quantization: The quantum Hall effect
Topology and topological invariants: Preamble to the topological aspects of the quantum Hall
The Berry phase and the quantum Hall effect
The kiss precise and precise Quantization
The art of tinkering
The butterfly in the laboratory
Gallery
Divertimento
Gratitude
Poetic
Coda
Selected Bibliography

Erscheinungsdatum	20.03.2018
Reihe/Serie	IOP Concise Physics
Verlagsort	San Rafael
Sprache	englisch
Maße	178 x 254 mm
Gewicht	825 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	1-68174-913-0 / 1681749130
ISBN-13	978-1-68174-913-6 / 9781681749136
Zustand	Neuware