David Chester - Butterfly in the Quantum World - Part 2

Love our work? Help us continue our research by joining our giving circle. Even just $1/month helps us further our cause: quantumgravityresearch.giving...
David Chester is a research scientist at Quantum Gravity Research.
These series of lectures are a review of the book “Butterfly in the Quantum World: The story of the most fascinating quantum fractal” by Dr. Indubala Satija, a Professor at George Mason University. These lectures discuss the mathematical aspects of Hofstadter’s butterfly. This fractal describes the energy levels of electrons as a function of the magnetic field for a particular class of 2D lattices. Such a system has a mysterious connection to number theory and topology. Additionally, the butterfly relates to various fractal structures, including the Mandelbrot set, and relates to notions of universality found in a wide variety of physical systems.
You can find out more about David Chester here: quantumgravityresearch.org/da...
Love our work and want more content? Please support our mission, even $1/month helps: quantumgravityresearch.giving...
VISIT THE QGR WEBSITE: www.quantumgravityresearch.org
GET TO KNOW QGR’s RESEARCH SCIENTISTS: www.quantumgravityresearch.org...
READ OUR RESEARCH PAPERS & PRESENTATIONS: www.quantumgravityresearch.org...
QGR FACEBOOK: / quantumgravityresearch
QGR TWITTER: emergencetheory?l...
QGR INSTAGRAM: / quantumgravityresearch
KLEE IRWIN'S WEBSITE: www.kleeirwin.com/

[@jostpuur]

Every time I have read about Bloch waves, I have felt like I understand the claims, but I don't understand any derivations or proofs. How do you prove that the Bloch bands form?

[@ALEXGIBSONCMG]

epic