Butterfly in the quantum world : the story of the most fascinating quantum fractal

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Tác giả: Douglas R Hofstadter, Indubala I Satija

Ngôn ngữ: eng

ISBN-13: 978-1681740539

ISBN-13: 978-1681741178

ISBN-13: 978-1681742458

Ký hiệu phân loại: 530.1201514742 Theories and mathematical physics

Thông tin xuất bản: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, 2016

Mô tả vật lý: 1 online resource (various pagings) : , illustrations (chielfy color).

Bộ sưu tập: Tài liệu truy cập mở

ID: 161202

Butterfly in the Quantum World 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.
Includes bibliographical references.
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