Timeline for Boson calculus and Maximum Weight State

8 events

when toggle format	what		by	license	comment
Nov 12, 2013 at 11:11	vote	accept	Jack
Nov 12, 2013 at 8:52	answer	added	David Bar Moshe		timeline score: 2
Nov 12, 2013 at 7:33	comment	added	Jack		I am fairly certain, yes. That was an assignment question of mine, but I was able to work that out. What we've done in lectures is that, like you've said, we have three distinct boson creation operators, and three distinct boson annihilation operators. Stop me if I'm going overboard here, but, in class, the vectors we've been talking about (in Dirac notation) are of the form $\left\|n l m\right\rangle$, with $n = 0, 1, 2, ...$, $l = n, n-2, ...$ and $m = -l, -l + 1, ..., l - 1, l$. We define $n$ and $l$ to be greater than or equal to zero.
Nov 12, 2013 at 7:13	comment	added	joshphysics		Hmmm. Is the context similar to your question here: physics.stackexchange.com/questions/80291/…? In particular, are there precisely 3 distinct bosonic creation operators $b_1^\dagger,b_2^\dagger,b_3^\dagger$ in the operator algebra?
Nov 12, 2013 at 7:00	comment	added	Jack		It does indeed specify $gl(3)$ - it's pretty much all we've worked with in my course.
Nov 12, 2013 at 6:54	comment	added	joshphysics		Are you certain that the problem specifies $gl(3)$? It seems odd to me that the number $3$ is singled-out here.
Nov 12, 2013 at 6:28	history	edited	joshphysics	CC BY-SA 3.0	added 2 characters in body
Nov 12, 2013 at 6:25	history	asked	Jack	CC BY-SA 3.0