I know you're out there. I can feel you now. I know that you're afraid... you're afraid of us. You're afraid of change. I don't know the future. I didn't come here to tell you how this is going to end. I came here to tell you how it's going to begin.
Tools /
MpDimensions(redirected from Main.MpDimensions)
ExamplesSupposing mp-dimensions six-site-hubbard.lattice
will print Symmetry list is Q:SU(2),S:SU(2) Symmetry Sector Dimension 0,0 70 0,1 84 0,2 20 0,3 1 0.5,0.5 140 0.5,1.5 64 0.5,2.5 6 1,0 84 1,1 90 1,2 15 1.5,0.5 64 1.5,1.5 20 2,0 20 2,1 15 2.5,0.5 6 3,0 1 Total: 700 This example shows nicely the effect of SU(2) symmetry. The symmetry sectors here represent multiplets of degree (2q+1)(2s+1). Multiply this by the dimension and sum over all subspaces to get the full dimension of the Hilbert space, which is 4^6 = 4096. NotesThis program uses arbitrary-length integer arithmetic and never overflows. The ordering of the quantum numbers is a bit weird for quantum numbers larger than 127. The output gets very big for large lattices. There really needs to be some way to restrict the output to just one quantum number, or a narrow range. |