"BROOKLYN" QUANTUM MEETUP CONTINUES COUNTING

We'll review the theory of "second quantization," how it relates to the quantum harmonic oscillator, to the general notion of counting in quantum mechanics, and to the representation theory of groups. We'll proceed more slowly and methodically, synthesizing everything we've learned about spin to give concrete examples involving our old friends: constellations, complex numbers, polynomials, spinors, permutation symmetric states, and double oscillators. Much ado about "indistinguishability." Finally, we'll discuss how to generalize beyond the case of SU(2).