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Quantum Field Theory (QFT) is the theoretical framework describing the quantisation of classical fields which allows a Lorentz-invariant formulation of quantum mechanics. QFT is used both in high energy physics as well as condensed matter physics and closely related to statistical field theory. Use this tag for many-body quantum-mechanical problems and the theory of particle physics. Don’t combine with the [quantum-mechanics] tag.

5 votes

Canonical transformation for the "nearly diagonal" Hamiltonians

The working matrix $(n+1)\times (n+1)$: $$ \mathbf{H} = \begin{bmatrix} \epsilon_0 & U_1 & U_2 & U_3 & ... &U_{n-1}&U_n\\ U_1 & \epsilon_1 &0&0&...&0&0\\ U_2& 0 & \epsilon_2 &0&...&0&0\\ U_3 …
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1 vote

Two-site fermion system

1. Are these state eigenstates? How can i calculate their energy? Act Hamiltonian on the states $\vert 00,00\rangle $ and $\vert 11,11\rangle $. The 4 number denotes occupation for site 1 spin-up, s …
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