What you know you can't explain, but you feel it. You've felt it your entire life, that there's something wrong with the world. You don't know what it is, but it's there, like a splinter in your mind, driving you mad.
What you know you can't explain, but you feel it. You've felt it your entire life, that there's something wrong with the world. You don't know what it is, but it's there, like a splinter in your mind, driving you mad.
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Tools /
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. |