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Results tagged with second-quantization
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user 226018
Second quantization or canonical quantization in quantum field theory and many-body systems is the collective organizing and accounting of an infinity of quantum excitations and their interactions through quantum field operators.
2
votes
1
answer
229
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Green function for bosons in ground state
I have to obtain a one-particle Green function for phonons at $T=0$ $$D^{0}(\mathbf{x},t)=\frac{1}{iV}\sum_{\mathbf{k}}\frac{\omega_\mathbf{k}}{2}\big(\theta(t)e^{i(\mathbf{kx}-\omega_{\mathbf{k}} t)} …
- 179
2
votes
1
answer
1k
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Bogoliubov transformation for fermionic Hamiltonian
I have the Hamiltonian
$H=\sum\limits_k [Ab^{\dagger}_{k}b_{k} + B(b^{\dagger}_kb^{\dagger}_{-k}+b_{k}b_{-k})]$,
where $b^{\dagger}_k$ and $b_k$ are fermionic creation and annihilation operators. …
- 179