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comment Exact Beta Functions in Statistical Mechanics
Okay:) That's certainly true. Though I would be happy to find a non-standard example that also has a phase transition (not like Ising 1D) at some point in parameter space
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asked Exact Beta Functions in Statistical Mechanics
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comment Quantum Mechanics in terms of *-algebras
Thirring's exposition looks nice and seems to be a nice start. But I think he's not talking about partial trace, purification, etc.
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comment Reduction of a sum to the first Brillouin zone in a band structure calculation
Ok, this may help: www-brs.ub.ruhr-uni-bochum.de/netahtml/HSS/Diss/IsmerJanPeter/… This is the reference I'm using. I'm refering to section 2.4 on charge density waves, page 32. thanks.
Feb
23
comment Reduction of a sum to the first Brillouin zone in a band structure calculation
Ok. To let's assume for simplicity that U is real. So that we don't have to worry about the difficulties you are describing. So replace U* by U everywhere
Feb
23
comment Reduction of a sum to the first Brillouin zone in a band structure calculation
Note that the sum in the original hamiltonian is NOT restricted to the first Brillouin zone, while the sum in the Hamiltonian given in form a "quadratic form" is just over the first Brillouin zone. The model describes a charge density wave. The condition on the energies is the so-called nesting condition.
Feb
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asked Reduction of a sum to the first Brillouin zone in a band structure calculation