Category Archives: Quantum Mechanics

Nature is Fundamentally Conformally Invariant

Posted on August 20, 2014 by woit

For a third slogan I’ve chosen: Nature is fundamentally conformally invariant. Note the weasel-word “fundamentally”. We know that nature is not conformally invariant, but the kind of thing I have in mind is pure QCD, where the underlying classical theory … Continue reading →

Posted in Favorite Old Posts, Quantum Mechanics | 33 Comments

Grand Unification of Mathematics and Physics

Posted on August 20, 2014 by woit

For a second slogan about quantum mechanics I’ve chosen: Quantum mechanics is evidence of a grand unification of mathematics and physics. I’m not sure whether this slogan is likely to annoy physicists or mathematicians more, but in any case Edward … Continue reading →

Posted in Favorite Old Posts, Quantum Mechanics, Uncategorized | 7 Comments

Quantum Theory is Representation Theory

Posted on August 16, 2014 by woit

For a first slogan (see here for slogan zero) I’ve chosen: Quantum theory is representation theory. One aspect of what I’m referring to is explained in detail in chapter 14 of these notes. Whenever you have a classical phase space … Continue reading →

Posted in Favorite Old Posts, Quantum Mechanics | 43 Comments

What’s Hard to Understand is Classical Mechanics, Not Quantum Mechanics

Posted on August 11, 2014 by woit

For a zeroth slogan about quantum mechanics, I’ve chosen What’s hard to understand is classical mechanics, not quantum mechanics. The slogan is labeled by zero because it’s preliminary to what I’ve been writing about here. It explains why I don’t … Continue reading →

Posted in Favorite Old Posts, Quantum Mechanics | 46 Comments

Fall QM Course

Posted on August 11, 2014 by woit

This year I’ll be teaching a new version of the same course on quantum mechanics aimed at mathematicians that I taught during the 2012-3 academic year (there’s a web-page here). During the last course I started writing up notes, and … Continue reading →

Posted in Quantum Mechanics | 8 Comments