https://www.amazon.com/Butterfly-Quantum-World-fascinating-quantum/dp/1681740532 In this book, ” 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? “

https://www.amazon.com/Butterfly-Quantum-World-fascinating-quantum/dp/1681740532
In this book, ” 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? “
===
Ah ha!! It’s the “Farey organization of periodic regimes” that I was looking for in my numerator/denominator search the other day.
 
Thank you Indubala I Satija for writing “Butterfly in the Quantum World” and your publisher IOPscience for making the “free chapter” precisely the one that had the name of the thing I was looking for.
 
https://iopscience.iop.org/book/978-1-6817-4117-8
Free to read
The fractal family
 
https://en.wikipedia.org/wiki/Farey_sequence
====

Leave a comment

Your email address will not be published. Required fields are marked *


9 − three =

Leave a Reply